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Chiral defect fermions in the background of an external, $2n$ dimensional gauge field are considered. Assuming first a finite extra dimension, we calculate the axial anomaly in a vector-like, gauge invariant model for arbitrary $n$, and the…

High Energy Physics - Lattice · Physics 2009-10-22 Yigal Shamir

We investigate the asymptotic properties of the large deviation function of the integrated particle current in systems, in or out of thermal equilibrium, whose dynamics exhibits anomalous diffusion. The physical systems covered by our study…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Uwe C. Tauber , Frederic van Wijland

In this paper we consider external current QED in the Coulomb gauge and in axial gauges for various spatial directions of the axis. For a non-zero electric charge of the current, we demonstrate that any two different gauges from this class…

High Energy Physics - Theory · Physics 2021-04-23 Wojciech Dybalski , Benedikt Wegener

We address an unexpectedly large rectification using a simple quantum wire with correlated site potentials. The external electric field, associated with voltage bias, leads to unequal charge currents for two different polarities of external…

Mesoscale and Nanoscale Physics · Physics 2017-07-07 Madhumita Saha , Santanu K. Maiti

We compute corrections to the Einstein field equations which are induced by the anomalous effective actions associated to the type A conformal anomaly, both for the (non-local) Riegert action, as well as for the local action with dilaton.…

High Energy Physics - Theory · Physics 2017-05-24 Hadi Godazgar , Krzysztof A. Meissner , Hermann Nicolai

We study the role of arbitrary (finite) anticanonical transformations in the field-antifield formalism, and the gauge-fixing procedure based on the use of these transformations. The properties of the generating functionals of the Green…

High Energy Physics - Theory · Physics 2015-07-10 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

The antibracket formalism for gauge theories, at both the classical and quantum level, is reviewed. Gauge transformations and the associated gauge structure are analyzed in detail. The basic concepts involved in the antibracket formalism…

High Energy Physics - Theory · Physics 2009-10-28 Joaquim Gomis , Jordi Paris , Stuart Samuel

There is evidence for existence of massless Dirac quasi-particles in graphene, which satisfy Dirac equation in (1+2) dimensions near the so called Dirac points which lie at the corners at the graphene's brilluoin zone. It is shown that…

Mesoscale and Nanoscale Physics · Physics 2011-05-31 Riazuddin

We have considered the problem of the influence of inhomogeneity of gravitational field on transport effects predicted by the field theory describing massless Dirac fermions in the Maxwell and dark matter background. As a model of dark…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Marek Rogatko , Karol I. Wysokinski

Non-conformal supercurrents in six dimensions are described, which contain the trace of the energy-momentum tensor and the gamma-trace of the supersymmetry current amongst their component fields. Within the superconformal approach to ${\cal…

High Energy Physics - Theory · Physics 2018-04-04 Sergei M. Kuzenko , Joseph Novak , Stefan Theisen

We consider the Adler-Bardeen anomaly of the U(1) axial current in abelian and non-abelian gauge theories and present its algebraic characterization as well as an explicit evaluation proving regularization scheme independence of the…

High Energy Physics - Theory · Physics 2007-05-23 Elisabeth Kraus

The field-antifield quantization method is used to calculate the trace anomaly for a massless scalar field in a curved background, by means of the zeta function regularization procedure.

High Energy Physics - Theory · Physics 2008-11-26 J. Barcelos-Neto , N. R. F. Braga , S. M. de Souza

Imposing the conservation equation of the vector current for a fermion of spin $\frac{1}{2}$ at the quantum level, a gauge anomaly for the fermion coupling with non-Abelian vector and axial--vector fields in six--dimensional curved space is…

High Energy Physics - Theory · Physics 2019-12-06 Satoshi Yajima , Kohei Eguchi , Makoto Fukuda , Tomonori Oka

In theories with chiral couplings, one of the important consistency requirements is that of the cancellation of a gauge anomaly. In particular, this is one of the conditions imposed on the hypercharges in the Standard Model. However,…

High Energy Physics - Theory · Physics 2009-11-11 Alexey Boyarsky , Oleg Ruchayskiy , Mikhail Shaposhnikov

In this article we propose a consistent scheme of doing computations directly in four dimensions using conventional quantum field theory methods. This work is continuation of a stochastic quantization program reported earlier.

High Energy Physics - Theory · Physics 2021-07-20 A. K. Kapoor

We study conformal field theory on two-dimensional orbifolds and show this to be an effective way to analyze physical effects of geometric singularities with angular deficits. They are closely related to boundaries and cross caps.…

High Energy Physics - Theory · Physics 2014-11-18 Zheng Yin

Two-dimensional topological field theories possessing a non-abelian current symmetry are constructed. The topological conformal algebra of these models is analysed. It differs from the one obtained by twisting the $N=2$ superconformal…

High Energy Physics - Theory · Physics 2009-10-22 J. M. Isidro , A. V. Ramallo

A general field-antifield BV formalism for antisymplectic first class constraints is proposed. It is as general as the corresponding symplectic BFV-BRST formulation and it is demonstrated to be consistent with a previously proposed…

High Energy Physics - Theory · Physics 2019-08-17 Igor Batalin , Robert Marnelius

We consider the hydrodynamic regime of gauge theories with general triangle anomalies, where the participating currents may be global or gauged, abelian or non-abelian. We generalize the argument of arXiv:0906.5044, and construct at the…

High Energy Physics - Theory · Physics 2011-03-18 Yasha Neiman , Yaron Oz

In this paper a mathematically precise global (i.e. not the usual local) approach is presented to the variational principles of general relativistic classical field theories. Problems of the classic (usual) approaches are also discussed in…

General Relativity and Quantum Cosmology · Physics 2016-08-31 András László