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A detailed study of certain apspects of some 2+1 dimensional field theories is presented with special emphasis on the role of Wigner's little group for massless particles in generating gauge transformations. The planar models considered…

High Energy Physics - Theory · Physics 2007-05-23 Tomy Scaria

We consider 5 dimensional gauge theories where the 5th direction is compactified on an interval. The Chern-Simons (CS) terms (favored by naive dimensional analysis) are discussed. A simple scenario with an extra U(1)_X gauge field that…

High Energy Physics - Phenomenology · Physics 2009-04-21 Bohdan Grzadkowski , Jose Wudka

In this work we review various findings in the planar quantum physics with the special emphasis on the two-component quantum electrodynamics in three-dimensional spacetime (QED_{3}) with the Chern-Simons (CS) term. First the classical…

High Energy Physics - Phenomenology · Physics 2008-11-18 Sergej Moroz

We study the effect of a (3+1)-dimensional Chern-Simons electrodynamics on the equations governing the dynamics of magnetized plasma and fields. In this model, the Chern-Simons (CS) part consists of a dynamical pseudo-scalar field whose…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Patrick Das Gupta

We give a pedagogical account of noncommutative gauge and gravity theories, where the exterior product between forms is deformed into a $\star$-product via an abelian twist (e.g. the Groenewold-Moyal twist). The Seiberg-Witten map between…

High Energy Physics - Theory · Physics 2023-06-21 Paolo Aschieri , Leonardo Castellani

This paper discusses the formulation of the non-commutative Chern-Simons (CS) theory where the spatial slice, an infinite strip, is a manifold with boundaries. As standard star products are not correct for such manifolds, the standard…

High Energy Physics - Theory · Physics 2016-09-06 A. P. Balachandran , K. S. Gupta , S. Kurkcuoglu

We study the effect of a Chern-Simons term in a theory with discrete gauge group H, which in (2+1)-dimensional space time describes (non-abelian) anyons. As in a previous paper, we emphasize the underlying algebraic structure, namely the…

High Energy Physics - Theory · Physics 2015-06-26 F. Alexander Bais , Peter van Driel , Mark de Wild Propitius

We show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmetric spaces. In such models the matter fields are coupled to…

High Energy Physics - Theory · Physics 2007-05-23 L. Martina , O. K. Pashaev , G. Soliani

Topological field theories emerge at low energy in strongly-correlated condensed matter systems and appear in the context of planar gravity. In particular, the study of Chern-Simons terms gives rise to the concept of flux attachment when…

Quantum Gases · Physics 2020-09-30 Gerard Valentí-Rojas , Niclas Westerberg , Patrik Öhberg

We study a class of generalized Abelian gauge field theories where CPT symmetry is violated by a Chern-Simons-like term which selects a preferred direction in spacetime. Such Chern-Simons-like terms may either emerge as part of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. Adam , F. R. Klinkhamer

We study issues of duality in 3D field theory models over a canonical noncommutative spacetime and obtain the noncommutative extension of the Self-Dual model induced by the Seiberg-Witten map. We apply the dual projection technique to…

High Energy Physics - Theory · Physics 2009-11-10 M. S. Guimarães , J. L. Noronha , D. C. Rodrigues , C. Wotzasek

The axionic inflaton with the Chern-Simons coupling may generate U(1) gauge fields and charged particles simultaneously. In order to incorporate the backreaction from the charged particles on the gauge fields, we develop a procedure to…

High Energy Physics - Phenomenology · Physics 2022-09-14 Tomohiro Fujita , Jun'ya Kume , Kyohei Mukaida , Yuichiro Tada

We give explicit field theoretical representations for the observables of 2+1 dimensional Chern-Simons theory in terms of gauge invariant composites of 2D WZW fields. To test our identification we compute some basic Wilson loop correlators…

High Energy Physics - Theory · Physics 2009-10-28 D. C. Cabra , G. L. Rossini

We analyse the Abelian $N=1$ super-Chern-Simons model coupled to parity-preserving matter in linear and non-linear gauges with exact BRST invariance. Then we analyse the theory in field/antifield formulation to discuss the model at quantum…

High Energy Physics - Theory · Physics 2014-01-14 Sudhaker Upadhyay

We study the electrodynamics of generic charged particles (bosons, fermions, relativistic or not) constrained to move on an infinite plane. An effective gauge theory in 2+1 dimensional spacetime which describes the real electromagnetic…

High Energy Physics - Theory · Physics 2009-10-22 E. C. Marino

We examine the claim that the effective action of four-dimensional SU(2)_L gauge theory at high and low temperature contains a three-dimensional Chern-Simons term with coefficient being the chemical potential for baryon number. We perform…

High Energy Physics - Theory · Physics 2009-09-11 Jim McCarthy , Andy Wilkins

We discuss the canonical quantization of Chern-Simons theory in $2+1$ dimensions, minimally coupled to a Dirac spinor field, first in the temporal gauge and then in the Coulomb gauge. In our temporal gauge formulation, Gauss's law and the…

High Energy Physics - Theory · Physics 2009-10-28 Kurt Haller , Edwin Lim-Lombridas

In this talk I describe recent work (hep-th/9606029) in which I classified all conceivable 2+1 dimensional Chern-Simons (CS) theories with continuous compact abelian gauge group or finite abelian gauge group. The CS theories with finite…

High Energy Physics - Theory · Physics 2011-04-15 Mark de Wild Propitius

We present a gauge and Lorentz invariant effective field theory model for the interaction of a charged scalar matter field with a magnetic monopole source, described by an external magnetic current. The quantum fluctuations of the monopole…

High Energy Physics - Theory · Physics 2024-01-23 K. Farakos , G. Koutsoumbas , Nick E. Mavromatos

I present a unified formulation of anomalous contributions in quantum field theories by calculating directly the effective action using the background field and covariant-derivative expansion technique. I use this method to determine…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lai-Him Chan
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