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Three dimensional (abelian) gauged massive Thirring model is bosonized in the large fermion mass limit. A further integration of the gauge field results in a non-local theory. A truncated version of that is the Maxwell Chern Simons (MCS)…

High Energy Physics - Theory · Physics 2009-10-31 Subir Ghosh

A very simple field theory in noncommutative phase space X^{M},P^{M} in d+2 dimensions, with a gauge symmetry based on noncommutative u*(1,1), furnishes the foundation for the field theoretic formulation of Two-Time Physics. This leads to a…

High Energy Physics - Theory · Physics 2009-11-07 Itzhak Bars

We present a Lorentzian version of three-dimensional noncommutative Einstein-AdS gravity by making use of the Chern-Simons formulation of pure gravity in 2+1 dimensions. The deformed action contains a real, symmetric metric and a real,…

High Energy Physics - Theory · Physics 2009-11-07 S. Cacciatori , D. Klemm , L. Martucci , D. Zanon

Gauge theories, while describing fundamental interactions in nature, also emerge in a wide variety of physical systems. Abelian gauge fields have been predicted and observed in a number of novel quantum many-body systems, topological…

Mesoscale and Nanoscale Physics · Physics 2016-06-02 T. Li , L. A. Yeoh , A. Srinivasan , O. Klochan , D. A. Ritchie , M. Y. Simmons , O. P. Sushkov , A. R Hamilton

We consider two ways of introducing minimal Abelian gauge interactions into the model presented in [1]. They are different only if the second central charge of the planar Galilei group is nonzero. One way leads to standard gauge…

High Energy Physics - Theory · Physics 2009-11-07 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

In this letter the Chern-Simons field theories are studied in the Coulomb gauge using the Dirac's canonical formalism for constrained systems. As a strategy, we first work out the constraints and then quantize, replacing the Dirac brackets…

High Energy Physics - Theory · Physics 2009-10-30 Franco Ferrari , Ignazio Lazzizzera

We consider a general class of non-local MCS models whose usual minimal coupling to a conserved current is supplemented with a (non-minimal) magnetic Pauli-type coupling. We find that the considered models exhibit a self-duality whenever…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Chandelier , Y. Georgelin , T. Masson , J. -C. Wallet

In this paper we study general properties of noncommutative field theories obtained from the Seiberg-Witten limit of string theories in the presence of an external B-field. We analyze the extension of the Wightman axioms to this context and…

High Energy Physics - Theory · Physics 2010-04-06 L. Alvarez-Gaume , M. A. Vazquez-Mozo

We discuss the behavior of theories of fermions coupled to Chern-Simons gauge fields with a non-abelian gauge group in three dimensions and at finite temperature. Using non-perturbative arguments and gauge invariance, and in contradiction…

High Energy Physics - Theory · Physics 2019-08-15 Daniel Cabra , Eduardo Fradkin , Gerardo L. Rossini , Fidel A. Schaposnik

Lorentz violation through a radiatively induced Chern-Simons-like term in a fermionic theory embedded in linearized quantum gravity with a Lorentz- and CPT-violating axial-vector term in the fermionic sector proportional to a constant field…

High Energy Physics - Theory · Physics 2014-06-20 J. C. C. Felipe , A. R. Vieira , A. L. Cherchiglia , A. P. Baêta Scarpelli , Marcos Sampaio

The Einstein's gravity theory can be formulated as an SL(2,C) gauge theory in terms of spinor notations. In this paper, we consider a noncommutative space with the Poisson structure and construct an SL(2,C) formulation of gravity on such a…

High Energy Physics - Theory · Physics 2014-11-20 Yan-Gang Miao , Shao-Jun Zhang

We analize a model of non relativistic matter in 2+1 dimensional noncommutative space. The matter fields interact with gauge fields whose dynamics is dictated by a Chern Simons term. We show that it is possible to choose the coupling…

High Energy Physics - Theory · Physics 2009-11-11 Gustavo S. Lozano , Olivier Piguet , Fidel A. Schaposnik , Lucas Sourrouille

In this paper we show the renormalizability of the translation invariant noncommutative Chern-Simons theory, motivated by the work done on noncommutative scalar field theory [06]. We add a new term to the bilinear part of the action. In…

High Energy Physics - Theory · Physics 2012-07-20 Kaddour Chelabi , Manfred Schweda , Smain Kouadik

Employing the Foldy-Wouthuysen transformation it is demonstrated straightforwardly that the first and second Chern numbers are equal to the coefficients of the 2+1 and 4+1 dimensional Chern-Simons actions which are generated by the massive…

Mathematical Physics · Physics 2012-02-07 O. F. Dayi , M. Elbistan , E. Yunt

The effective action of nonrelativistic fermions in 2+1 dimensions is analyzed at finite temperature and chemical potential in the presence of a uniform magnetic field perpendicular to the plane. The method used is a generalization of the…

Condensed Matter · Physics 2009-10-22 S. Sakhi

The classical theory of non-relativistic charged particle interacting with U(1) gauge field is reformulated as the Schr\"odinger wave equation modified by the de-Broglie-Bohm quantum potential nonlinearity. For, (1 - $\hbar^2$) deformed…

High Energy Physics - Theory · Physics 2007-05-23 Oktay K. Pashaev , and Jyh-Hao Lee

The magnetic field redefinition in Jain's composite fermion model for the fractional quantum Hall effect is shown to be effectively described by a mean-field approximation of a model containing a Maxwell-Chern-Simons gauge field…

High Energy Physics - Theory · Physics 2009-11-10 Ricardo C. Paschoal , José A. Helayël-Neto

In this article it is studied, at variational level, a mathematical setup given by the Landau-Ginzburg Chern-Simons model for anyons in 2+1-dimensions within the framework of dimensional reduced Ue(1)xUg(1) extended electromagnetism with…

High Energy Physics - Theory · Physics 2012-01-31 P. Castelo Ferreira

We incorporate the Seiberg-Witten map of noncommutative theory in the classical London theory of type-I superconductivity when an external magnetic field is applied. After defining the noncommutative Maxwell potentials, we derive the London…

High Energy Physics - Theory · Physics 2023-03-10 Daniel Martínez-Carbajal , Manuel de la Cruz , Sergio Patiño-López , Leonardo D. Herrera-Zúñiga

We investigate BPS soliton solutions of U(N) Chern-Simons gauge theory coupled to a scalar field in noncommutative plane. With a scalar field in the fundamental representation, we show that the BPS equation becomes that of abelian…

High Energy Physics - Theory · Physics 2011-08-09 Ee Chang-Young , Kyoungtae Kimm , Daeho Lee , Youngone Lee