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The pressure of an ideal relativistic Fermi gas is computed as an infinite series for high temperatures at nonzero chemical potentials. The expansion of the particle number density, scalar density, and entropy density as first derivatives…

Mathematical Physics · Physics 2015-11-18 A. S. Khvorostukhin

We calculate the effective action for a constant magnetic field and a time-dependent time-component of the gauge field in 2+1 dimensions at finite temperature. We also discuss the behaviour of the charge density and the fermion condensate…

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcelo Hott , Georgios Metikas

Charret et. al. applied the properties of the Grassmann generators to develop a new method to calculate the coefficients of the high temperature expansion of the grand canonical partition function of self-interacting fermionic models in any…

High Energy Physics - Theory · Physics 2016-09-06 S. M. de Souza , O. Rojas Santos , M. T. Thomaz

Using the Fock-Schwinger proper time method, we calculate the induced Chern-Simons term arising from the Lorentz- and CPT-violating sector of quantum electrodynamics with a $b_\mu \bar{\psi}\gamma^\mu \gamma_5 \psi$ term. Our result to all…

High Energy Physics - Theory · Physics 2009-11-07 J. -M. Chung , B. K. Chung

In an effort to further understand the structure of effective actions for fermions in an external gauge background at finite temperature, we study the example of 1+1 dimensional fermions interacting with an arbitrary Abelian gauge field. We…

High Energy Physics - Theory · Physics 2016-08-25 Ashok Das , A. J. da Silva

We compute the thermal free energy for all renormalizable Chern Simon theories coupled to a single fundamental bosonic and fermionic field in the 't Hooft large N limit. We use our results to conjecture a strong weak coupling duality…

High Energy Physics - Theory · Physics 2015-06-16 Sachin Jain , Shiraz Minwalla , Shuichi Yokoyama

We consider the perturbative computation of the N-point function of chiral densities of massive free fermions at finite temperature within the thermofield dynamics approach. The infinite series in the mass parameter for the N-point…

High Energy Physics - Theory · Physics 2014-11-18 R. L. P. G. Amaral , L. V. Belvedere , K. D. Rothe

The heat kernel method is extended to the case of finite temperature. Special emphasis is given to the study of gauge theories. Due to the compactness of space in the Euclidean time direction (inverse temperature) the field strength cannot…

High Energy Physics - Theory · Physics 2007-05-23 Stefan Leupold

In this work I consider extensions of Chern-Simons gravities and supergravities associated to the use of Transgression forms as actions, instead of Chern-Simons forms. It is noted that Transgression Forms yields a essencially unique…

High Energy Physics - Theory · Physics 2007-05-23 Pablo Mora

A few years ago, some of us devised a method to obtain integrable systems in (2+1)-dimensions from the classical non-Abelian pure Chern-Simons action via reduction of the gauge connection in Hermitian symmetric spaces. In this paper we show…

Exactly Solvable and Integrable Systems · Physics 2009-10-31 L. Martina , Kur. Myrzakul , R. Myrzakulov , G. Soliani

The Symplectic Projector Method is applied to discuss quantisation aspects of an extended Abelian model with a pair of gauge potentials coupled by means of a mixed Chern-Simons term. We focuss on a field content that spans an N=2-D=3…

High Energy Physics - Theory · Physics 2009-10-31 L. R. U. Manssur , A. L. M. A. Nogueira , M. A. Santos

We investigate metric independent, gauge invariant and closed forms in the generalized YM theory. These forms are polynomial on the corresponding fields strength tensors - curvature forms and are analogous to the Pontryagin-Chern densities…

High Energy Physics - Theory · Physics 2015-06-18 Spyros Konitopoulos , George Savvidy

In a previous paper [\AS], we used superspace techniques to prove that perturbation theory (around a classical solution with no zero modes) for Chern--Simons quantum field theory on a general $3$-manifold $M$ is finite. We conjectured (and…

High Energy Physics - Theory · Physics 2008-02-03 Scott Axelrod , I. M. Singer

A general method for calculating asymptotic expansions of infinite sums in thermal field theory is presented. It is shown that the Mellin summation method works elegantly with dimensional regularization. A general result is derived for a…

High Energy Physics - Phenomenology · Physics 2017-08-23 D. J. Bedingham

The partition function on the three-sphere of N=3 Chern-Simons-matter theories can be formulated in terms of an ideal Fermi gas. In this paper we show that, in theories with N=2 supersymmetry, the partition function corresponds to a gas of…

High Energy Physics - Theory · Physics 2015-06-05 Marcos Marino , Pavel Putrov

The energy density is computed for a U(2) Chern-Simons theory coupled to a non-relativistic fermion field (a theory of ``non-Abelian anyons'') under the assumptions of uniform charge and matter density. When the matter field is a spinless…

High Energy Physics - Theory · Physics 2007-05-23 Patrick McGraw

It is shown how quantum field theory at finite temperature can be used to set up self-consistent and gauge invariant equations for cosmological perturbations sustained by an ultrarelativistic plasma. While in the collisionless case, the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Anton K. Rebhan

Unlike an earlier theory, by avoiding both the electromagnetic gauge field shift and the assumption of the zero average of electromagnetic field fluctuation the fermion Chern-Simons gauge theory is reformulated to obtain mean field…

Condensed Matter · Physics 2007-05-23 Tae-Hyoung Gimm , Sung-Ho Suck Salk

We study symmetry reductions in the context of Euclidean Chern-Simons gauge theories to obtain lower dimensional field theories. Symmetry reduction in certain gauge theories is a common tool for obtaining explicit soliton solutions.…

High Energy Physics - Theory · Physics 2024-07-30 Burak Oğuz , Bayram Tekin

We study symmetry reductions in the context of Euclidean Chern-Simons gauge theories to obtain lower dimensional field theories. Symmetry reduction in certain gauge theories is a common tool for obtaining explicit soliton solutions.…

High Energy Physics - Theory · Physics 2024-10-30 Burak Oğuz , Bayram Tekin