We have investigated the "weak chaos" exponent to see if it can be considered as a classification parameter of different sandpile models. Our simulation results show that the (Abelian) BTW sandpile model, the (non-Abelian) Zhang model, and the ...

In this talk I describe some rather elegant mathematical properties of a simple cellular automaton model for self organized criticality. I will discuss how a subset of states in this model form an Abelian group. Then I will show how to construct the non-t...

Appreciation of stochastic Loewner evolution (SLE?) , as a powerful tool to check for conformal invariant properties of geometrical features of critical systems has been rising. In this paper we use this method to check conformal invariance in sandpile models. Avalanche frontiers in Abelian sandpile ...

We check the universality properties of the two-dimensional Abelian sandpile model by computing some of its properties on the honeycomb lattice. Exact expressions for unit-height correlation functions in the presence of boundaries and for different boundary conditions are derived. Also, we study the statistics of the boundaries of ...

We study universality classes and crossover behaviors in non-Abelian directed sandpile models in terms of the metastable pattern analysis. The non-Abelian property induces spatially correlated metastable patterns, characterized by the algebraic decay of the grain density along the propagation direction of an ...

The time and size distributions of the waves of topplings in the Abelian sandpile model are expressed as the first arrival at the origin distribution for a scale invariant, time-inhomogeneous Fokker-Plank equation. Assuming a linear conjecture for the time inhomogeneity exponent as a function of a loop-erased random walk (LERW) ...

These notes are intended to provide a pedagogical introduction to the abelian sandpile model of self-organized criticality, and its related models. The abelian group, the algebra of particle addition operators, the burning test for recurrent states, equivalence to the spanning trees problem are ...

We study universality classes and crossover behaviors in non-Abelian directed sandpile models in terms of the metastable pattern analysis. The non-Abelian property induces spatially correlated metastable patterns, characterized by the algebraic decay of the grain density along the propagation direction of an ...

telemedicine, 3D telerobotics, 3D visual com- munications, 3DTV and cinema, and virtual reality, etc. [10

We measure the fractal dimension of loop-erased random walk (LERW) in three dimensions and estimate that it is 1.624 00 � 0.000 05. LERW is closely related to the uniform spanning tree and the Abelian sandpile model. We simulated LERW on both the cubic and face-centered-cubic lattices; the corrections to scaling are slightly smaller ...

We measure the fractal dimension of loop-erased random walk (LERW) in three dimensions and estimate that it is 1.62400�0.00005 . LERW is closely related to the uniform spanning tree and the Abelian sandpile model. We simulated LERW on both the cubic and face-centered-cubic lattices; the corrections to scaling are slightly smaller ...

aspects of abelian sandpile models. J. Phys. A 28 (1995), 805--831. [8] D. Dummit and R.M. Foote, Abstract JACOBSON, ANDREW NIEDERMAIER, AND VICTOR REINER Abstract. The critical group of a connected graph, On the critical group of the n�cube, preprint, 2002. [2] N.L. Biggs, Algebraic graph theory, second edition

In this talk I describe some rather elegant mathematical properties of a simple cellular automaton model for self organized criticality. I will discuss how a subset of states in this model form an Abelian group. Then I will show how to construct the non-trivial state which represents the identity for this group. The number of exact ...

This java applet deals with a 1/f model that describes low frequency vibrations in a semiconductor. This is for graduate level users and above.

Non-Fellerian particle systems are characterized by nonlocal interactions, somewhat analogous to non-Gibbsian distributions. They exhibit new phenomena that are unseen in standard interacting particle systems. We consider freezing transitions in one-dimensional non-Fellerian processes which are built from the abelian sandpile additions to which in one ...

Avalanche structure in a running sandpile model B. A. Carreras and V. E. Lynch Oak Ridge National of the avalanche size in the sandpile model does not verify strict self-similarity under changes of the sandpile size. Here we show the existence of avalanches with different space-time structure, ...

Nontrivial critical behaviour is observed in equilibrium lattice statistical models under rotational constraint. Effect of rotational constraint on lattice statistical models at out of equilibrium situation is important to study. Critical properties of non-equilibrium steady state of sandpile models are studied ...

The self-organized critical state exhibited by a sandpile model is shown to correspond to motion on an attractor characterized by an invariant distribution of the height variable. The largest Lyapunov exponent is equal to zero. The model nonetheless displ...

The Bak-Tang-Wiesenfeld sandpile model provides a simple and elegant system with which to demonstate self-organized criticality. This model has rather remarkable mathematical properties. Some of these properties are demonstrated graphically with a simple ...

The Bak-Tang-Wiesenfeld sandpile model provides a simple and elegant system with which to demonstrate self-organized criticality. This model has rather remarkable mathematical properties first elucidated by Dhar. I demonstrate some of these properties graphically with a simple computer simulation.

Rotational sandpile model (RSM) with quasi-deterministic toppling rule is found to belong to different universality class than that of stochastic sandpile model (SSM). However, a continuous crossover from RSM to SSM can be achieved by introducing a quenched random rotational field in the model. ...

The scaling behavior of sandpile models is investigated analytically. First, it is shown that sandpile models contain a set of domain walls, referred to as troughs, which bound regions that can experience avalanches. It is further shown that the dynamics of the troughs is governed by a simple set of rules involving ...

We derive the steady state properties of a general directed 'sandpile' model in one dimension. Using a central limit theorem for dependent random variables we find the precise conditions for the model to belong to the universality class of the totally asymmetric Oslo model, thereby identifying a large universality ...

With each directed acyclic graph (this includes some D-dimensional lattices) one can associate some Abelian algebras that we call directed Abelian algebras (DAAs). On each site of the graph one attaches a generator of the algebra. These algebras depend on several parameters and are semisimple. Using any DAA, one can define a family of Hamiltonians which ...

Toppling number si of each sand column during an avalanche in a sandpile model defines a toppling surface. Several islands of different areas and sizes can be found by horizontal cut to the toppling surface at a given height. It is observed that there exists a critical relative height sc at which the number of islands and the fluctuation in the island size ...

A sandpile with two stable and two unstable ranges of slopes is presented as a minimal model for the study of H-mode pedestal formation and dynamics. Pedestals are observed to form and expand inward with increasing deposition. Transport bifurcation is not critical to pedestal formation, though the pedestal structure obtained with a second, hard stability ...

We present a general relationship between different scaling exponents for the one-dimensional sandpile problem to describe the self-adjusting of the slope of the sandpile. We solve the mean-field theory for this model, assuming that there is no correlation between the sizes of neighbor clusters. The mean-field theory does not give the ...

To explore the character of underlying transport in a sandpile, we have followed the motion of tracer particles. Moments of the distribution function of the particle positions, {l_angle}{vert_bar}x(t){minus}x(0){vert_bar}{sup n}{r_angle}=D{sub 0}t{sup n{nu}(n)}, are determined as a function of the elapsed time. The numerical results show that the transport mechanism for ...

We numerically study the directed version of the fixed energy sandpile. On a closed square lattice, the dynamical evolution of a fixed density of sand grains is studied. The activity of the system shows a continuous phase transition around a critical density. While the deterministic version has the set of nontrivial exponents, the stochastic model is ...

We consider a modified Bouchaud-Cates-Ravi Prakash-Edwards model for pile surface dynamics, and show that in the long-scale limit this model converges to a quasistationary model of pile growth in the form of an evolutionary variational inequality.

Bak, Tang, and Wiesenfeld showed that certain driven dissipative systems with many degrees of freedom organize into a critical state characterized by avalanche dynamics and power law distribution of avalanche sizes and durations. They called this phenomenon self-organized criticality and sandpile became the prototype of such dynamical systems. Universality in these systems is ...

BackgroundMany systems in nature are characterized by complex behaviour where large cascades of events, or avalanches, unpredictably alternate with periods of little activity. Snow avalanches are an example. Often the size distribution f(s) of a system's avalanches follows a power law, and the branching parameter sigma, the average number of events triggered by a single preceding event, is unity. ...

To shed some light on the apparent discrepancies between most theoretical models of turbulent transport and experimental observations of the transport in magnetically confined plasmas, a model for transport has been developed based on the concept of self-...

Kinetic self-avoiding trails are introduced and used to generate a substrate of randomly quenched flow vectors. A sandpile model is studied on such a substrate with asymmetric toppling matrices where the precise balance between the net outflow of grains from a toppling site, and the total inflow of grains to the same site when all its neighbors topple ...

Abelian and non-Abelian bosonization of two-dimensional models is discussed within the path-integral framework. Concerning the Abelian case, the equivalence between the massive Thirring and the sine-Gordon models is rederived in a very simple way by making a chiral change in the fermionic ...

A single sandpile model with quenched random toppling matrices captures the crucial features of different models of self-organized criticality. With symmetric matrices avalanche statistics falls in the multiscaling Bak-Tang-Wiesenfeld universality class. In the asymmetric case the simple scaling of the Manna model ...

We study an anisotropic inflation model with a gauge kinetic function for a non-abelian gauge field. We find that, in contrast to abelian models, the anisotropy can be either a prolate or an oblate type, which could lead to a different prediction from abelian models for the ...

After briefly reviewing the problems associated with non-Abelian monopoles, we turn our attention to the development in our understanding of non-Abelian vortices in the last several years. In the U(N) model with Nf = N flavors in which they were first found, the fluctuations of the orientational modes along the vortex length and in ...

Presented is a detailed study of chiral-symmetry breaking in the semiclassical approximation of the two-dimensional Abelian Higgs model with massless fermions. Emphasis is on examining the consistency of the dynamical symmetry-breaking mechanism with the requirements of gauge invariance.

The dual transformation discovered in the two-dimensional Ising and planar Heisenberg models is applied to gauge theories in four dimensions. It is shown that after the dual transformation the Abelian Higgs model gives the same partition function as the relativistic hydrodynamics of Kalb and Ramond and of Nambu coupled to the Higgs ...

The authors show that models with an abelian family symmetry which accounts for the observed hierarchies of masses and mixings in the quark sector may also accommodate quasi-degeneracies in the neutrino mass spectrum. Such approximate degeneracies are, in...

Abelian lattice gauge theories coupled to Higgs's fields in the fundamental representation of the gauge group are studied with reference to phase transitions at extreme values of the gauge coupling. The scalar fields are allowed to vary radially and this ...

On the basis of global Abelian gauge invariant classical field theoretical models, the problem of existence of hidden symmetry with respect to some nonlocal gauge transformations without including compensating fields is investigated. In the 2-dimensional ...

The abelian generalization of QED sub 2 to include SU(M) flavor and diagonal SU(N) color is considered. The operator solutions and confinement aspects of these models are discussed in detail for the case of massless and massive fermions. For a non-vanishi...

I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct.

I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct.

Using topological arguments it is shown that in the context of the MIT bag model single non-Abelian monopoles are impossible and that the total magnetic flux of the bag must be Abelian. The size of the color-singlet bag containing three monopoles is estimated and found to be of the same order as a hadron bag, which may cause a problem ...

The movement of unconsolidated materials near the earth's surface is often driven by disturbances that occur at a range of spatial and temporal scales. The nature of these disturbances varies from highly stochastic, such as tree turnover (which is influenced by tree physiology, soil properties, storm frequency, and topography), to periodic and predictable, such as frost heave or creep (which is ...

We initiate a programme to compute curvature corrections to the non-Abelian Born Infeld action. This is based on the calculation of derivative corrections to the Abelian Born Infeld action, describing a maximal brane, to all orders in F=B+2??F. An exact calculation in F allows us to apply the Seiberg Witten map, reducing the maximal ...

We study distributions of dissipative and nondissipative avalanches in Manna�s stochastic sandpile, in one and two dimensions. Our results lead to the following conclusions: (1) avalanche distributions, in general, do not follow simple power laws, but rather have the form P(s)�s-?s(ln s)?f(s/sc), with f a cutoff function; (2) the exponents for sizes of dissipative ...

We investigate two models for performing topological quantum gates with the Aharonov-Bohm (AB) and Aharonov-Casher (AC) effects. Topological one- and two-qubit Abelian phases can be enacted with the AB effect using charge qubits, whereas the AC effect can be used to perform all single-qubit gates (Abelian and ...

We examine current-carrying configurations of cosmic strings in non-Abelian gauge theories. We study the solutions numerically and point out that the currents will be at best {ital dynamically} stable and not subject to any topological quantization or conservation, as in conventional models of string superconduction. We suggest that ...

We examine current-carrying configurations of cosmic strings in non-Abelian gauge theories. We study the solutions numerically and point out that the currents will be at best dynamically stable and not subject to any topological quantization or conservation, as in conventional models of string superconduction. We suggest that ...

We give a gauge description of the adiabatic charge pumping in closed systems, both in Abelian and non-Abelian processes, and by means of asymptotic Wilson loops in a suitable parameter manifold. Our geometric formulation provides new insights into this issue, and a very simple algorithm for numerical computations. Indeed, as we show first, discretized ...

In this article we present new, genuinely non-Abelian vortex solutions in SU(2) Yang-Mills-Higgs theory with only one isovector scalar field. These non-Abelian solutions branch off their Abelian counterparts (Abrikosov-Nielsen-Olesen vortices) for precise values of the Higgs potential coupling constant {lambda}. For all values of ...

Department of Solar Energy and Environmental Physics, Blaustein Institute for Desert Research, Ben Gurion for pile surface dynamics, and show that in the long-scale limit this model converges to a quasistationary model of pile growth in the form of an evolutionary variational inequality. DOI: 10.1103/PhysRevE.63

by a simple sandpile model in which grains were added at a single site. The rich mathematical structure-like models, and objects with arrowheads mapped to spin systems with chiral interactions. Direct second was discovered in a study of magnetic impurity effects in the honeycomb lattice S = 1/2 Kitaev model which ...

We find new non-Abelian flux tube solutions in a model of N{sub f} scalar fields in the fundamental representation of SU(N)xU(1) with N{<=}N{sub f} (the 'extended non-Abelian Higgs model'), and study their main properties. Among the solutions there are spinning strings as well as ...

String-nets and quantum loop gases are two prominent microscopic lattice models to describe topological phases. String-net condensation can give rise to both Abelian and non-Abelian anyons, whereas loop condensation usually produces Abelian anyons. It has been proposed, however, that generalized quantum loop gases ...

We describe how the entanglement renormalisation approach to topological lattice systems leads to a general procedure for treating the whole spectrum of these models in which the Hamiltonian is gradually simplified along a parallel simplification of the connectivity of the lattice. We consider the case of Kitaev's quantum double models, both ...

We study a family of non-Abelian topological models in a lattice that arise by modifying the Kitaev model through the introduction of single-qudit terms. The effect of these terms amounts to a reduction in the discrete gauge symmetry with respect to the original systems, which corresponds to a generalized mechanism of explicit symmetry ...

We study the dynamics of laminar time between successive bursts in anomalous particle flux measured at the HL-1M tokamak plasma edge. The results reveal that the flux fluctuations are self-similar in a narrow range of time scales and that their probability distribution function is not Gaussian. These properties are not consistent with those predicted by self-organized criticality (SOC) ...

In this work, we propose a new non-Abelian generalization of the Born Infeld Lagrangian. It is based on a geometrical property of the Abelian Born Infeld Lagrangian in its determinantal form. Our goal is to extend the Abelian second-type Born Infeld action to the non-Abelian form preserving this geometrical ...

The one dimensional quantum walk of anyonic systems is presented. The anyonic walker performs braiding operations with stationary anyons of the same type ordered canonically on the line of the walk. Abelian as well as non-Abelian anyons are studied and it is shown that they have very different properties. Abelian anyonic walks ...

The one dimensional quantum walk of anyonic systems is presented. The anyonic walker performs braiding operations with stationary anyons of the same type ordered canonically on the line of the walk. Abelian as well as non-Abelian anyons are studied and it is shown that they have very different properties. Abelian anyonic walks ...

a potential energy Ep which has to be dissipated inside the pile. An order of magnitude of Ep is m x g x a is controlled by the difference between the real pile density d and a critical density dc: macroscopic avalanches (i.e. first order process) are obtained when d > dc, since the slope of the pile becomes

wars is power-law distributed belongs to the most striking empirical regularities in world politics, we know that casualty levels of wars are power-law distributed. As with earthquakes, there are many events with few casualties, fewer large ones, and a very small number of huge disasters. More precisely

Dissipative dynamical systems with many degrees of freedom naturally evolve to a self-organized critical state with fluctuations (avalanches) extending over all length- and time-scales. The systems operate at the border of chaos, with zero Lyapunov exponent and algebraic growth of initial deviations. This picture has support from numerical and analytical model calculations, ...

size the bead stabilizes on a constant velocity, and below a threshold value it stops. We already see velocity increases very quickly above the bifurcation threshold: in particular we did not get any- lar velocity is larger than the threshold l . This condition defines the dynamical angle: 1 cos s d

, for smaller angles #and smaller size# the bead stabilizes on a constant velocity, and below a threshold value that the limit velocity increases very quickly above the bifurcation threshold: in particular we did not get any and # s , it can be either at rest or in motion with a constant velocity. It is shown that the limit velocity

We consider the minimal model in which dark matter is stabilized by a non-Abelian discrete symmetry. The symmetry group is taken to be D?S, which is the smallest non-Abelian finite group. The minimal model contains (nontrivial) singlet and doublet scalar representations of D which couple to the Standard ...

The theory of abelian categories proved very useful, providing an axiomatic framework for homology and cohomology of modules over a ring and, in particular, of abelian groups. For many years, a similar categorical framework has been lacking for non-abelian (co)homology, the subject of which includes the categories of ...

Vaccum condensation and vacuum stability are investigated in the non-Abelian Schwinger model. {copyright} 1989 Academic Press, Inc.

We derive general expressions for the K�hler form of the L2-metric in terms of standard 2-forms on vortex moduli spaces. In the case of abelian vortices in gauged linear sigma-models, this allows us to compute explicitly the K�hler class of the L2-metric. As an application we compute the total volume of the moduli space of abelian ...

Starting from a recently proposed Abelian topological model in 2+1 dimensions, which involve the Kalb-Ramond two form field, we study a non-Abelian generalization of the model. An obstruction for the generalization is detected. However, we show that the goal is achieved if we introduce a vectorial auxiliary field. ...

We consider a nonlinear O(3) model in 2+1 dimensions minimally coupled to Chern-Simons gauge fields. All the static, finite energy, regular solutions of the model are discussed. Through a suitable reduction of the gauge group, the given solutions are mapped into an Abelian purely magnetic vortex. A two-dimensional Euclidean action ...

We study the coupling of abelian gauge theories to four-dimensional simplicial quantum gravity. The gauge fields live on dual links. This is the correct formulation if we want to compare the effect of gauge fields on geometry with similar effects studied so far for scalar fields. It shows that gauge fields couple equally weakly to geometry as scalar fields, and it offers an ...

In a spirit akin to the sandpile model of self-organized criticality, we present a simple statistical model of the cellular-automaton type which simulates the role of an asperity in the dynamics of a one-dimensional fault. This model produces an earthquake spectrum similar to the characteristic-earthquake behaviour ...

A numerical study is made of the gauge field model of magnetic confinement. The nonlinear differential equations describing a flux tube are solved by a relaxation method. Particular attention is paid to the boundary conditions at the center of the flux tube and the effect of these boundary conditions in differentiating between Abelian and ...

We consider the London limit of the 3D Georgi-Glashow model when bosonic or fermionic dynamical quarks are present. We briefly discuss the compactification of the abelian modes based on a generalized dual transformation of the matter sector. We also compare with other approaches dealing with the quark sector in compact abelian gauge ...

We deduce a new set of symmetries and relations between the coefficients of the expansion of Abelian and non-Abelian fractional quantum Hall (FQH) states in free (bosonic or fermionic) many-body states. Our rules allow us to build an approximation of a FQH model state with an overlap increasing with growing system size (that may ...

We deduce a new set of symmetries and relations between the coefficients of the expansion of Abelian and non-Abelian fractional quantum Hall (FQH) states in free (bosonic or fermionic) many-body states. Our rules allow us to build an approximation of a FQH model state with an overlap increasing with growing system size (that may ...

Applying the dynamic shooting method, we proved the existence of nontopological radially symmetric n-vortex solutions to the self-dual equation in non-Abelian Chern-Simons gauge theory with a {Phi}{sup 2}-type potential. Moreover, we obtained all possible radially symmetric nontopological bare (or 0-vortex) solutions in the non-Abelian Chern-Simons ...

We present two generic classes of supersymmetric solutions of N=2, d=4 supergravity coupled to non-Abelian vector supermultiplets with a gauge group that includes an SU(2) factor. The first class consists of embeddings of the 't Hooft-Polyakov monopole and in the considered model is a globally regular, asymptotically flat spacetime. The other ...

We describe the short-distance properties of the spacetime of a system of D particles by viewing their matrix-valued coordinates as coupling constants of a deformed world-sheet ? model. We show that the Zamolodchikov metric on the associated moduli space naturally encodes properties of the non-Abelian dynamics, and from this we derive new spacetime ...

We analyze the edge lying on the interface of two non-Abelian quantum Hall states: the Moore-Read spin-polarized state at filling factor 1/2, supporting Ising anyons, and the non-Abelian spin-singlet state at filling factor 4/7, supporting Fibonacci anyons. We find that the neutral sector of the edge is described by a minimal model ...

Non-Abelian anyons exist in certain spin models and may exist in quantum Hall systems at certain filling fractions. In this work, we studied the ground state of dynamical SU(2) level-kappa Chern-Simons non-Abelian anyons at finite density and no external magnetic field. We find that, in the large-kappa limit, the topological ...

SU(4) dynamical symmetry is shown to imply a no-double-occupancy constraint on the minimal symmetry description of antiferromagnetism and d-wave superconductivity. This implies a maximum doping fraction of (1/4) for cuprates and provides a microscopic critique of the projected SO(5) model. We propose that SU(4) superconductors are representative of a class of compounds that we ...

V A Fock, in 1926, was the first to have the idea of an Abelian gradient transformation and to discover that the electromagnetic interaction of charged particles has a gradient invariance in the framework of quantum mechanics. These transformation and invariance were respectively named Eichtransformation and Eichinvarianz by H Weyl in 1929 (the German verb zu eichen means to ...

We develop an approach to the dilute-instanton-gas approximation for the Abelian Higgs model when massless fermions are present. We discuss the properties of the resulting partition function and evaluate fermionic correlation functions which become nontrivial when topological sectors are taken into account.

The authors show that models with an abelian family symmetry which accounts for the observed hierarchies of masses and mixings in the quark sector may also accommodate quasi-degeneracies in the neutrino mass spectrum. Such approximate degeneracies are, in this context, associated with large mixing angles. The parameters of this class of ...

We consider the lattice Abelian Higgs model with frozen radial degrees of freedom using the mean-field approximation with corrections. The free energy corrections contain essential 0(1) and 0(1/d) terms. In the weak coupling region the behaviour of the fr...

We re-examine the work of Antoniadis et al.[1] on the apparent gauge-parameter dependence of the mass counterterm for a scalar field coupled to gravity and show that the same effect appears in a spontaneously broken abelian Higgs model. In both cases the Nielsen identities assure the gauge-parameter independence of the pole masses. Laboratoire associ� ...

We analyze the effect of local spin operators in the Kitaev model on the honeycomb lattice. We show, in perturbation around the isolated-dimer limit, that they create Abelian anyons together with fermionic excitations which are likely to play a role in experiments. We derive the explicit form of the operators creating and moving ...

An SO(3) non-Abelian gauge theory is introduced. The Hamiltonian density is determined and the constraint structure of the model is derived. The first-class constraints are obtained and gauge-fixing constraints are introduced into the model. Finally, using the constraints, the Dirac brackets can be determined and a canonical ...

models #12;12 Lu and Hamilton model for solar flares (1/2) A "pile of magnetic fields" " z B " Source : magnetic reconnection : reconnection >> emergence Rules 3D vector model of the type sand-pile For dBi > d et al. 1999 � inverse helicity cascade (Big Bear) " Berghmans et al 1999, Benz et al, intracell

A non-Abelian generalization of the neutral Witten current-carrying string model is discussed in which the bosonic current carrier belongs to a two-dimensional representation of SU(2). We find that the current-carrying solutions can be of three different kinds: either the current spans a U(1) subgroup, and in which case one is left with an ...

Recently, a pair of experiments (Lu et al 2009 Phys. Rev. Lett. 102 030502; Pachos et al 2009 New J. Phys. 11 083010) demonstrated the simulation of Abelian anyons in a spin network of single photons. The experiments were based on the Abelian discrete gauge theory spin lattice model of Kitaev (Kitaev 2003 Ann. Phys., NY 303 2). Here, ...

When an antisymmetric tensor potential is coupled to the field strength of a gauge field via a BANDF coupling and a kinetic term for B is included, the gauge field develops an effective mass. The theory can be made invariant under a non-Abelian vector gauge symmetry by introducing an auxiliary vector field. The covariant quantization of this theory requires ghosts for ghosts. ...

Anyons are particlelike excitations of strongly correlated phases of matter with fractional statistics, characterized by nontrivial changes in the wave function, generalizing Bose and Fermi statistics, when two of them are interchanged. This can be used to perform quantum computations [A. Yu. Kitaev, Ann. Phys. (N.Y.) 303, 2 (2003)]. We show how to simulate the creation and manipulation of ...

We investigate fully nonlinear, non-Abelian excitations of quark-antiquark plasma using relativistic fluid theory in cold plasma approximation. There are mainly three important nonlinearities, coming from various sources such as non-Abelian interactions of Yang-Mills (YM) fields, Wong's color dynamics, and plasma nonlinearity, in our ...

Himalayan avalanches are examined for agreement with power-law behavior between frequency of outfall

In this work we discuss the formation of zero energy vortex and chiral edge modes in a fermionic representation of the Kitaev honeycomb model. We introduce the representation and show how the associated Jordan-Wigner procedure naturally defines the so-called branch cuts that connect the topological vortex excitations. Using this notion of the branch cuts we show how to, in the ...

We examine the star lattice Kitaev model whose ground state is a chiral spin liquid. We fermionize the model such that the fermionic vacua are toric-code states on an effective Kagome lattice. This implies that the Abelian phase of the system is inherited from the fermionic vacua and that time-reversal symmetry is spontaneously broken ...

We present the current algebra of a particular form in the nonlinear ?-model. The algebra has a non-Abelian form with field-dependent structure functions. We comment on the connection of the model with noncommutative space.

The partition function of all classical spin models, including all discrete standard statistical models and all Abelian discrete lattice gauge theories (LGTs), is expressed as a special instance of the partition function of the 4D Z2 LGT. This unifies all classical spin models with apparently very different ...

The partition function of all classical spin models, including all discrete standard statistical models and all Abelian discrete lattice gauge theories (LGTs), is expressed as a special instance of the partition function of the 4D Z{sub 2} LGT. This unifies all classical spin models with apparently very different ...

The partition function of all classical spin models, including all discrete standard statistical models and all Abelian discrete lattice gauge theories (LGTs), is expressed as a special instance of the partition function of the 4D Z2 LGT. This unifies all classical spin models with apparently very different ...

Avalanche or cascade failure is ubiquitous. We first classify the cascading phenomena into two categories: the cascading disasters which result in large-scale functional failures and the cascading events that do not lead to disasters. We elucidate that two important factors, the increasing amount of events and the acceleration of event frequency, can induce the crossover from the cascading ...

We generalize the hybrid magnetofluid model of a charged fluid interacting with an electromagnetic field to the dynamics of a relativistic hot fluid interacting with a non-Abelian field. The fluid itself is endowed with a non-Abelian charge and the consequences of this generalization are worked out. Applications of this formalism to ...

We generalize the hybrid magnetofluid model of a charged fluid interacting with an electromagnetic field to the dynamics of a relativistic hot fluid interacting with a non-Abelian field. The fluid itself is endowed with a non-Abelian charge and the consequences of this generalization are worked out. Applications of this formalism to ...

We propose a classical model for the non-Abelian Chern-Simons theory coupled to [ital N] pointlike sources and quantize the system using the Becchi-Rouet-Stora-Tyutin technique. The resulting quantum mechanics provides a unified framework for fractional spin, braid statistics, and Knizhnik-Zamolodchikov equation.

In this review paper we summarize basic concepts of T-duality. Starting from the simplest case of abelian T-duality, we show the techniques used for finding the dual model and summarize developments in the field of Poisson-Lie T-duality/plurality, which deals with non-abelian groups. We also mention possible extension of T-duality to ...

We review the string representations of Abelian-projected SU(2)- and SU(3)-gauge theories and their application to the evaluation of bilocal field strength correlators. The large distance asymptotic behaviours of the latter ones are shown to be in agreement with the Stochastic Vacuum Model of QCD and existing lattice data

We show how to bosonize two-dimensional non-Abelian models using finite chiral determinants calculated from a Gauss decomposition. The calculation is quite straightforward and hardly more involved than for the Abelian case. In particular, the counterterm A{bar A}, which is normally motivated from gauge invariance and then added by ...

We establish the existence of a chiral spin liquid (CSL) as the exact ground state of the Kitaev model on a decorated honeycomb lattice, which is obtained by replacing each site in the familiar honeycomb lattice with a triangle. The CSL state spontaneously breaks time reversal symmetry but preserves other symmetries. There are two topologically distinct CSLs separated by a ...

The spectral properties of Kitaev's honeycomb lattice model are investigated both analytically and numerically with the focus on the non-abelian phase of the model. After summarizing the fermionization technique which maps spins into free Majorana fermions, we evaluate the spectrum of sparse vortex configurations and derive ...

In three spatial dimensions, particles are limited to either bosonic or fermionic statistics. Two-dimensional systems, on the other hand, can support anyonic quasiparticles exhibiting richer statistical behaviors. An exciting proposal for quantum computation is to employ anyonic statistics to manipulate information. Since such statistical evolutions depend only on topological characteristics, the ...

A new class of models with pseudo Nambu-Goldstone bosons is constructed using a [ital non][minus][ital Abelian] symmetry in the right-handed Majorana neutrino sector of [ital seesaw] neutrino mass models. The phase structure of these models is examined both at zero and nonzero temperatures, with particular emphasis ...

In the past several decades there have been a number of proposals for computing with dual forms of non-Abelian Yang-Mills theories on the lattice. Motivated by the gauge-invariant, geometric picture offered by dual models and successful applications of duality in the U(1) case, we revisit the question of whether it is practical to perform numerical ...

Topological quantum states of matter, both Abelian and non-Abelian, are characterized by excitations whose wavefunctions undergo nontrivial statistical transformations as one excitation is moved (braided) around another. Topological quantum computation proposes to use the topological protection and the braiding statistics of a ...

Topological quantum states of matter, both Abelian and non-Abelian, are characterized by excitations whose wavefunctions undergo nontrivial statistical transformations as one excitation is moved (braided) around another. Topological quantum computation proposes to use the topological protection and the braiding statistics of a ...

A two-dimensional directed stochastic sandpile model is studied both numerically and analytically. One of the known analytical approaches is extended by considering general stochastic toppling rules. The probability density distribution for the first-passage time of stochastic process described by a nonlinear Langevin equation with power-law dependence of ...

A two-dimensional directed stochastic sandpile model is studied both numerically and analytically. One of the known analytical approaches is extended by considering general stochastic toppling rules. The probability density distribution for the first-passage time of stochastic process described by a nonlinear Langevin equation with power-law dependence of ...

Kardar-Parisi-Zhang interface depinning with quenched noise is studied in an ensemble that leads to self-organized criticality in the quenched Edwards-Wilkinson (QEW) universality class and related sandpile models. An interface is pinned at the boundaries, and a slowly increasing external drive is added to compensate for the pinning. The ensuing interface ...

Dissipative dynamical systems with many degrees of freedom naturally evolve to a self-organized critical state with fluctuations (avalanches) extending over all length- and time-scales (1). The system operate at the border of chaos, with zero Lyapunov exponent and algebraic growth of initial deviations. This picture has support from numerical and analytical model calculations, ...

Complexity originates from the tendency of large dynamical systems to organize themselves into a critical state, with avalanches or "punctuations" of all sizes. In the critical state, events which would otherwise be uncoupled become correlated. The apparent, historical contingency in many sciences, including geology, biology, and economics, finds a natural interpretation as a self-organized ...

Complexity originates from the tendency of large dynamical systems to organize themselves into a critical state, with avalanches or {open_quotes}punctuations{close_quotes} of all sizes. In the critical state, events which would otherwise be uncoupled become correlated. The apparent, historical contingency in many sciences, including geology, biology, and economics, finds a natural interpretation ...

We study an extension of the procedure to construct duality transformations among abelian gauge theories to the non abelian case.

We review recent works on statics and dynamics of magnetic vortices in the Ginzburg-Landau model of superconductivity and of Nielsen-Olesen (Nambu) strings in the Abelian-Higgs model of particle physics.

The authors investigate the cosmological constraints on exotic stable matter states which arise in realistic free fermionic superstring models. These states appear in the superstring models due to a ''Wilson-line'' breaking of the unifying non-Abelian gau...

We show that the Abelian bosonization of continuum limit of the 1D Hubbard model corresponds to the 2D explicitly conformal invariant Gaussian model at weak coupling limit. A universality argument is used to extend the equivalence to an entire segment of ...

Conformal field theory is applied to the study of quantum critical phenomena. By making use of Abelian bosonization procedure, we obtain a Coulomb gas picture of continuum limit of one-dimensional Hubbard model. It is shown that semi-direct product of two...

Two dimensional lattice spin (chiral) models over (possibly non-abelian) compact groups are formulated in terms of a generalized Pauli algebra. Such models over cyclic groups are written in terms of the generalized Clifford algebra. An automorphism of thi...

We propose an approach to generate many-body interactions from two-body interactions with stable cat states. Applied to the celebrated Kitaev honeycomb model, our approach opens a spectral gap in the gapless phase of the model without any external magnetic field. We confirm the non-Abelian topological properties of a generalized Kitaev ...

I discuss a family of statistical-mechanics models in which (some classes of) elements of a finite group G occupy the (directed) edges of a lattice; the product around any plaquette is constrained to be the group identity e. Such a model may possess topological order, i.e. its equilibrium ensemble has distinct, symmetry-related thermodynamic components ...

We show that a minimal clone has a nontrivial weakly abelian representation iff it has a nontrivial abelian representation, and that in this case all representations are weakly abelian.

This work extends to the /D-dimensional space-time the topological mass generation mechanism of the non-abelian BF model in four dimensions. In order to construct the gauge invariant non-abelian kinetic terms for a (/D-2)-form /B and a 1-form /A, we introduce an auxiliary (/D-3)-form /V. Furthermore, we obtain a complete set of BRST ...

Understanding the behavior of topologically ordered lattice systems at finite temperature is a way of assessing their potential as fault-tolerant quantum memories. We compute the natural extension of the topological entanglement entropy for T>0, namely, the subleading correction I{sub topo} to the area law for mutual information. Its dependence on T can be written, for ...

We study the phase structure of a three-dimensional (3D) Abelian Higgs model with singly and doubly charged scalar fields coupled to a compact Abelian gauge field. The model is pretending to describe systems of strongly correlated electrons such as high-T{sub c} superconductivity in overdoped regime and exotic ...

We address two distinct but related issues: (i) the impact of (two-dimensional) axions in a two-dimensional theory known to model confinement, the CP(N-1) model; (ii) bulk axions in four-dimensional Yang-Mills theory supporting non-Abelian strings. In the first case n, n kinks play the role of 'quarks'. They are known ...

The observed hierarchy of quark and lepton masses can be parametrized by nonrenormalizable operators with dimensions determined by an anomalous Abelian family symmetry, a gauge extension to the minimal supersymmetric standard model. Such an Abelian symmetry is generic to compactified superstring theories, with its anomalies compensated ...

We review the properties of static, higher dimensional black hole solutions in theories where non-abelian gauge fields are minimally coupled to gravity. It is shown that black holes with hyperspherically symmetric horizon topology do not exist in d>4, but that hyperspherically symmetric black holes can be constructed numerically in generalized Einstein-Yang-Mills ...

We study the quantum anomalous Hall effect described by a class of two-component Haldane models on square lattices. We show that the latter can be transformed into a pseudospin triplet p+ip-wave paired superfluid. In the long wavelength limit, the ground-state wave function is described by Halperin�s (1,1,-1) state of neutral fermions analogous to the double-layer quantum ...

A 2+1 dimensional model is presented which consists of two commuting non-relativistic fields with opposite abelian charges minimally coupled to an abelian Chern-Simons theory, which implements the fractional statistics. The model enjoys a discrete symmetry which prevents the ficticious magnetic field to develop a ...

We study the single particle dynamics of a mobile non-Abelian anyon hopping around many pinned anyons on a surface, by modeling it with a discrete time quantum walk. During the evolution, the spatial degree of freedom of the mobile anyon becomes entangled with the fusion degrees of freedom of the collective system. Each quantum trajectory makes a closed ...

We study the single particle dynamics of a mobile non-Abelian anyon hopping around many pinned anyons on a surface, by modeling it with a discrete time quantum walk. During the evolution, the spatial degree of freedom of the mobile anyon becomes entangled with the fusion degrees of freedom of the collective system. Each quantum trajectory makes a closed ...

We present model wavefunctions for quasiparticle (as opposed to quasihole)excitations of the Zk parafermion sequence (Laughlin/Moore-Read/Read-Rezayi) of Fractional Quantum Hall states. These states satisfy two generalized clustering conditions: they vanish when either a cluster of k+2 electrons is put together, or when two clusters of k+1 electrons are formed at different ...

We argue that in the infrared regime of continuum Yang-Mills theory, the possibility of a mass gap in the charged sector is closely associated with the center vortex sector. The analysis of the possible consequences of the ensembles of defects is done by showing that the description of center vortices and monopoles is naturally unified by means of a careful treatment of Cho decomposition. If on ...

We classify all possible implementations of an Abelian symmetry in the two-Higgs-doublet model with fermions. We identify those symmetries which are consistent with nonvanishing quark masses and a Cabibbo-Kobayashi-Maskawa quark-mixing matrix (CKM), which is not block-diagonal. Our analysis takes us from a plethora of possibilities down to 246 relevant ...

We review recent results in which statistical measures of noise in ECIS data distinguished healthy cell cultures from cancerous or poisoned ones: after subtracting the "signal," the 1/f^? noise in the healthy cultures shows longer short-time and long-time correlations. We discuss application of an artificial neural network to detect the cancer signal, and we demonstrate a computational ...

We study an Abelian Higgs model coupled to a background metric. We find Bogomol'nyi equations when the coupling is achieved through an R(phi)(sup 2) term (R being the scalar curvature and (phi) the Higgs scalar). Remarkably, these equations coincide with ...

By using a grassmanian polymer representation for the Fermionic functional determinant we argue the triviality of the vectorial four fermion interaction for space-time with dimensionality greater than two. (author). (Atomindex citation 22:067265)

this paper we restrict ourselves to small values of (0:05; 0:1; 0:2). We also assume that q=m = 1. This does not limit the generality of our considerations since it can be achieved by rescaling the eld A.

I obtain semilocal, self-dual topological as well as nontopological Chern-Simons vortices in an Abelian Higgs model with SU(2){sub global}{direct product}U(1){sub local} symmetry.

Effects of expansion on the Debye length in quark-gluon plasma are calculated in an abelian, boost invariant model. It is found that for early times the screening is significantly more efficient than what follows from naive static considerations. 11 refs....

The generalized renormalization group equations are used to analyze the dynamical mechanism of particle mass generation in the Cornwall--Norton model with and without cutoff. The solutions with nonzero physical masses of two fermions m sub 1 , m sub 2 and...

Mathematical models of dualities in quantum physics is a very interesting and intriguing area of research. The purpose of this paper is to explain without details the idea of non-commutative compactification in the example of abelian varieties.

It is argued that the noncommutativity approach to fully supersymmetric field theories on the lattice suffers from an inconsistency. Supersymmetric quantum mechanics is worked out in this formalism and the inconsistency is shown both in general and explicitly for that system, as well as for the Abelian super BF model.

The nature of non-Abelian theories for magnetic quark confinement is discussed. Of use of the internal holonomy group method, the properties of infinitely long, straight, static vortices of cylindrical symmetry are investigated. For defining the conserved...

In this work we investigate how magnetic fields may have been formed during the electroweak phase transition. Magnetic fields on the order of 10 m G have been observed in many galaxies and galactic clusters, and while their exact origin is unknown it is commonly believed that they may have arisen from primordial seed fields created during the early universe. Earlier works investigated the ...

With the standard model gauge group and the three standard left-handed Weyl neutrinos, two minimal scenarios are investigated where an arbitrary non-abelian lepton flavour symmetry group G(sub H) is responsible for a light neutrino with a large magnetic m...

We present a brief overview of axion models associated to anomalous abelian (gauge) symmetries, discussing their main phenomenological features. Among these, the mechanism of vacuum misalignment introduced at the QCD and at the electroweak phase transitions, with the appearance of periodic potentials, responsible for the generation of a mass for these ...

We put the Georgi-Glashow model on a lattice, and use Monte Carlo techniques to investigate the quantum physics of its monopoles. For appropriate bare couplings the monopoles are stable (suggesting that theories in which the Higgs scalars are composite wi...

Majorana fermions lie at the heart of a number of recent developments in condensed matter physics. One important application is the realization of non-abelian statistics and consequently a foundation for topological quantum computation. Theoretical propositions for Majorana systems abound, but experimental detection has proven challenging. Most attempts involve interferometry, ...

We present a numerical investigation of the dynamics of symmetry breaking in both Abelian and non-Abelian [SU(2)] Higgs models in three spatial dimensions. We find a class of time-dependent, long-lived nonperturbative field configurations within the range of parameters corresponding to type-1 superconductors, that is, with vector ...

We examine the anomalies which arise in two-dimensional non-Abelian quantum field theories under general, infinitesimal gauge transformations. These results are then integrated to finite transformations, and bosonic {sigma} models are constructed which reproduce the infinitesimal anomalies.

The Born-Infeld Lagrangian for non-Abelian gauge theory is adapted to the case of the generalized gauge fields arising in noncommutative matrix geometry. Basic properties of static and time-dependent solutions of the scalar sector of this model are investigated.

By imposing self-duality conditions, we obtain the explicit form in which gauge theories spontaneously breakdown in the Bogomol'nyi. In this context, we reconsider the Abelian Higgs and Maxwell-Chern-Simons Higgs models. On the same footing, we find a top...

The dynamics of spontaneous symmetry breaking of the four-fermion theory with (V-A)-interaction is investigated. In the mean-field approximation the four-fermion (V-A)-theory is shown to have all the features of the Abelian model with spontaneous symmetry...

A spin-1/2 system on a honeycomb lattice is studied. The interactions between nearest neighbors are of XX, YY or ZZ type, depending on the direction of the link; different types of interactions may differ in strength. The model is solved exactly by a reduction to free fermions in a static Z{sub 2} gauge field. A phase diagram in the parameter space is obtained. One of the ...

We use the duality between the Abelian Higgs model and pure U(1) lattice gauge theory to estimate the ratio ..sqrt..2 kappa equivalent lambda/xi of penetration depth and coherence length at the tricritical point to be ..sqrt..2 kappa roughly-equal 0.93, thus placing the tricritical point slightly on the type-I side of the borderline between type-I and ...

We choose a special ansatz for the gauge potentials which corresponds to Witten's ansatz; however, it involves the 5-plet of an SU(2) subalgebra instead of the 3-plet. Among the set of solutions, admitted by our ansatz, only the vacuum with vanishing field strength is self-dual. However, the action and the field equations are, except for one constant factor, equal to Witten's ...

We explore the low-temperature behavior of the Abelian Higgs model in AdS4, away from the probe limit in which back-reaction of matter fields on the metric can be neglected. Over a significant range of charges for the complex scalar, we observe a second order phase transition at finite temperature. The symmetry-breaking states are superconducting black ...

A dynamical programming approach is used to deal with the problem of controlling the directed abelian Dhar-Ramaswamy model on two-dimensional square lattice. Two strategies are considered to obtain explicit results to this task. First, the optimal solution of the problem is characterized by the solution of the Bellman equation obtained by numerical ...

The addition of an Abelian family symmetry to the Minimal Super-symmetric Standard Model reproduces the observed hierarchies of quark and lepton masses and quark mixing angles, only if it is anomalous. Green-Schwarz compensation of its anomalies requires the electroweak mixing angle to be sin{sup 2}{theta}{sub {omega}} = 3/8 at the string scale, without ...

Motivated by the persistence of a large measured top quark forward-backward asymmetry at the Tevatron, we examine a model of non-Abelian flavor gauge symmetry. The exchange of the gauge bosons in the t-channel can give a large AFBt due to the forward Rutherford scattering peak. We address generic constraints on non-Abelian t-channel ...

We demonstrate the existence of a new topologically ordered phase in Kitaev's honeycomb lattice model. This new phase appears due to the presence of a tightly packed vortex lattice and it supports chiral Abelian anyons. We characterize the phase by its low-energy behavior that is described by four Fermi points as opposed to two Fermi points in the absence ...

Entanglement in topological phases of matter has so far been investigated through the perspective of their ground-state wave functions. In contrast, we demonstrate that the excitations of fractional quantum Hall (FQH) systems also contain information to identify the system's topological order. Entanglement spectrum of the FQH quasihole (QH) excitations is shown to differentiate between the ...

We investigate domain walls between topologically ordered phases in two spatial dimensions. We present a method which allows for the determination of the superselection sectors of excitations of such walls and which leads to a unified description of the kinematics of a wall and the two phases to either side of it. This incorporates a description of scattering processes at domain walls which can be ...

We study the effect of a Chern-Simons (CS) term in the phase structure of two different Abelian gauge theories. For the compact Maxwell-Chern-Simons theory, with the CS term properly defined, we obtain that for values g = n/2? of the CS coupling with n = �1, �2, the theory is equivalent to a gas of closed loops with contact interaction, exhibiting a phase transition in the ...

Topological phases supporting non-Abelian anyonic excitations have been proposed as candidates for topological quantum computation. In this paper, we study disordered non-Abelian anyonic chains based on the quantum groups SU(2)k , a hierarchy that includes the ?=5/2 fractional quantum Hall state and the proposed ?=12/5 Fibonacci state, among others. We ...

Topological phases supporting non-abelian anyonic excitations have been proposed as candidates for topological quantum computation. We study disordered non-abelian anyonic chains based on the quantum groups SU(2)k, a hierarchy that includes the ?=5/2 FQH state and the proposed ?=12/5 Fibonacci state, among others. We find that for odd k these anyonic ...

We investigate the transmutation of D-branes into Abelian magnetic backgrounds on the world-volume of higher-dimensional branes, within the framework of global models with compact internal dimensions. The phenomenon, T-dual to brane recombination in the intersecting-brane picture, shares some similarities to inverse small-instanton transitions in ...

We describe hierarchies of exact string backgrounds obtained as non-Abelian cosets of orthogonal groups and having a space-time realization in terms of gauged WZW models. For each member in these hierarchies, the target-space backgrounds are identified with the ``boundary'' backgrounds of the next member. We explicitly demonstrate that this property holds ...

The concept of self-organized criticality (SOC) was introduced to explain the behavior of the ``sand-pile'' model. Other models that exhibit this behavior are the ``forest-fire'' model and the ``slider-block'' model. Each of these models can be associated with a serious ...

We calculate the Luescher term for recently suggested non-Abelian flux tubes (strings). The main feature of the non-Abelian strings is the presence of orientational zero modes associated with rotation of their color flux inside a non-Abelian subgroup. The Luescher term is determined by the number of light degrees of freedom on the ...

We investigate the properties of the Lieb lattice, that is, a face-centered square lattice, subjected to external gauge fields. We show that an Abelian gauge field leads to a peculiar quantum Hall effect, which is a consequence of the single Dirac cone and the flat band characterizing the energy spectrum. Then we explore the effects of an intrinsic spin-orbit term�a ...

We introduce an exactly solvable SU(2)-invariant spin-1/2 model with exotic spin excitations. With time reversal symmetry (TRS), the ground state is a spin liquid with gapless or gapped spin-1 but fermionic excitations. When TRS is broken, the resulting spin liquid exhibits deconfined vortex excitations which carry spin-1/2 and obey non-Abelian statistics. ...

We introduce an exactly solvable SU(2)-invariant spin-1/2 model with exotic spin excitations. With time reversal symmetry (TRS), the ground state is a spin liquid with gapless or gapped spin-1 but fermionic excitations. When TRS is broken, the resulting spin liquid exhibits deconfined vortex excitations which carry spin-1/2 and obey non-Abelian statistics. ...

New fundamental particles, charged under new gauge groups and only weakly coupled to the standard sector, could exist at fairly low energy scales. In this article we study a selection of such models, where the secluded group either contains a softly broken U(1) or an unbroken SU( N). In the Abelian case new ? v gauge bosons can be radiated off and decay ...

Non-Abelian strings exist in the color-flavor locked phase of dense QCD. We show that kinks appearing in the world-sheet theory on these strings, in the form of the kink-antikink bound pairs, are the magnetic monopoles�descendants of the �t Hooft�Polyakov monopoles surviving in such a special form in dense QCD. Our consideration is heavily based on analogies and ...

Critical group Graphs Simplicial complexes Sandpiles and Chip-Firing Motivation Think of a sandpile complexes Critical group Graphs Simplicial complexes Sandpiles and Chip-Firing Motivation ThinkGraphs Simplicial complexes Critical group The Critical group of a simplicial complex Art Duval1

In this article, we show, using a reasoning applicable to both the excitation spectrum in the chiral bag model and the hyperfine structure of diatomic molecules, that the generic form of a non-Abelian Berry potential appears in heavy-quark effective theory (HQET) and that the Berry potential vanishes for the soliton--heavy-meson bound state in the ...

We investigate the gauge boson propagator in the three dimensional compact Abelian gauge model in the Landau gauge at finite temperature. The presence of the monopole plasma in the confinement phase leads to the appearance of an anomalous dimension in the momentum dependence of the propagator. The anomalous dimension as well as an appropriate ratio of ...

There is a subtle difference between the open string dynamics determined by the original dual resonance models and that determined by D-brane constructions within critical closed string theory. For instance, in contrast to the former, the latter have massless scalars in addition to the massless gluon shared by both. We introduce and explain the concept of ...

The Gaussian effective potential is derived for the non-Abelian SU(2)xU(1) gauge theory of electroweak interactions. At variance with naive derivations, the Gaussian effective potential is proven to be a genuine variational tool in any gauge. The role of ghosts is discussed and the unitarity gauge is shown to be the only choice which allows calculability without insertion of ...

We construct new exact solution of the SU(2) Yang-Mills-Higgs model by considering Abelian decomposition of the gauge potential. The solution is obtained by considering only the restricted part of the decomposition, where the unrestricted valence part is switched off. The solutions possess free parameters c1, c2 and q that correspond to different physical ...

A duality transformation of a non abelian Thirring model with coupling constant ? and level k to one with coupling 1/? and level (-k-2Q) is derived. At ?=1 the theory acquires two dimensional gauge invariance, which freezes the current degrees of freedom. This point is infinitely far away from the origin in field space. It serves as a boundary between ...

Analytic and numerical studies of the lattice gauge theories with both Higgs and fermion fields are reported. A chiral transition is found in a wide class of such theories, both abelian and non-abelian. This transition separates each phase diagram into two regions, one with spontaneous chiral symmetry breaking and the other with explicit chiral symmetry. ...