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We propose a (4+1) dimensional Chern-Simons field theoretical description of the fractional quantum Hall effect. It suggests that composite fermions reside on a momentum manifold with a nonzero Chern number. Based on derivations from…

Strongly Correlated Electrons · Physics 2017-05-23 Junren Shi

A new method of abstracting the independent gauge invariances of higher derivative systems, recently introduced in [1], has been applied to higher derivative field theories. This has been discussed taking the extended Maxwell-Chern-Simons…

High Energy Physics - Theory · Physics 2015-06-03 Pradip Mukherjee , Biswajit Paul

The recently proposed physical projector approach to the quantisation of gauge invariant systems is applied to the U(1) Chern-Simons theory in 2+1 dimensions as one of the simplest examples of a topological quantum field theory. The…

High Energy Physics - Theory · Physics 2008-11-26 Jan Govaerts , Bernadette Deschepper

We study a noncommutative nonrelativistic fermionic field theory in 2+1 dimensions coupled to the Chern-Simons field. We perform a perturbative analysis of model and show that up to one loop the ultraviolet divergences are canceled and the…

High Energy Physics - Theory · Physics 2009-11-10 M. A. Anacleto , M. Gomes , A. J. da Silva , D. Spehler

In this paper a class of multi-Chern-Simons field theories which is relevant to the statistical mechanics of polymer systems is investigated. Motivated by the problems which one encounters in the treatment of these theories, a general…

High Energy Physics - Theory · Physics 2008-11-26 Franco Ferrari

We investigate the covariant formulation of Chern-Simons theories in a general odd dimension which can be obtained by introducing a vacuum connection field as a reference. Field equations, Noether currents and superpotentials are computed…

High Energy Physics - Theory · Physics 2008-11-26 A. Borowiec , L. Fatibene , M. Ferraris , M. Francaviglia

The Chern-Simons gravitational term is typically coupled to the inflaton field during inflation. In this work, we explore an alternative scenario where the Chern-Simons term is minimally coupled to a massive spectator field, $\sigma$,…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-16 Giorgio Orlando

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 construct a superfield formulation for non-relativistic Chern-Simons-Matter theories with manifest dynamical supersymmetry. By eliminating all the auxiliary fields, we show that the simple action reduces to the one obtained by taking…

High Energy Physics - Theory · Physics 2009-07-22 Yu Nakayama

The classical spin model in planar condensed media is represented as the U(1) Chern-Simons gauge field theory. When the vorticity of the continuous flow of the media coincides with the statistical magnetic field, which is necessary for the…

High Energy Physics - Theory · Physics 2015-06-26 Oktay K. Pashaev

A generalization of Chern-Simons gauge theory is formulated in any dimension and arbitrary gauge group where gauge fields and gauge parameters are differential forms of any degree. The quaternion algebra structure of this formulation is…

High Energy Physics - Theory · Physics 2017-05-31 Alessandro D'Adda , Noboru Kawamoto , Naoki Shimode , Takuya Tsukioka

We propose a fermion Chern-Simons field theory describing two- dimensional electrons in the lowest Landau level. This theory is constructed with a complete set of states, and the lowest Landau level constraint is enforced through a…

Condensed Matter · Physics 2009-10-28 Lizeng Zhang

The Herzog and Son prescription for computing real-time Green functions for finite temperature gauge theories from their gravity dual is generalized to fermions. These notes explain how such an extension involves properties of spinors in a…

High Energy Physics - Theory · Physics 2009-11-09 G. C. Giecold

Abelian Chern-Simons-Maxwell theory can emerge from the bosonisation of the 2+1-dimensional Thirring model that describes interacting Dirac fermions. Here we show how the Thirring model manifests itself in the low energy limit of a…

Strongly Correlated Electrons · Physics 2015-06-12 Giandomenico Palumbo , Jiannis K. Pachos

We calculate the anomalous magnetic moment of the electron in the Chern-Simons theory in 2+1 dimensions with and without a Maxwell term, both at zero temperature as well as at finite temperature. In the case of the Maxwell-Chern-Simons…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Silvana Perez

The noncommutative (NC) massive quantum electrodynamics in $2+1$ dimensions is considered. We show explicitly that the one-loop effective action arising from the integrating out the fermionic fields leads to the ordinary NC Chern-Simons and…

High Energy Physics - Theory · Physics 2015-06-16 M. Ghasemkhani , R. Bufalo

Three dimensional Yang-Mills gauge theories in the presence of the Chern-Simons action are seen as being generated by the pure topological Chern-Simons term through nonlinear covariant redefinitions of the gauge field

High Energy Physics - Theory · Physics 2009-10-31 V. E. R. Lemes , C. Linhares de Jesus , S. P. Sorella , L. C. Q. Vilar , O. S. Ventura

In (2+1) dimensions, we consider the model of a $N$ flavor, two-component fermionic field interacting through a Chern-Simons field besides a four fermion self-interaction which consists of a linear combination of the Gross-Neveu and…

High Energy Physics - Theory · Physics 2009-10-31 V. S. Alves , M. Gomes , S. V. L. Pinheiro , A. J. da Silva

A method is presented for the computation of the one-loop effective action at finite temperature and density. The method is based on an expansion in the number of spatial covariant derivatives. It applies to general background field…

High Energy Physics - Theory · Physics 2016-08-15 C. García-Recio , L. L. Salcedo

Using fermionic basis we conjecture the exact formulae for the expectation values of local fields in sinh-Gordon model. The conjecture is checked against previously known results.

High Energy Physics - Theory · Physics 2015-06-16 S. Negro , F. Smirnov