Thermodynamics and phase diagram of anisotropic Chern-Simons deformed gauge theories

TL;DR

This paper investigates the thermodynamics and phase diagram of anisotropic gauge theories with Chern-Simons deformation at weak coupling, comparing results with known strong-coupling models relevant for quark-gluon plasma.

Contribution

It provides a detailed analysis of the thermodynamic behavior and phase structure of anisotropic Chern-Simons deformed gauge theories at weak coupling, complementing existing strong-coupling studies.

Findings

Derived the thermodynamic properties at weak coupling.

Mapped the phase diagram of the anisotropic gauge theories.

Compared weak and strong coupling results for insights into quark-gluon plasma.

Abstract

We consider 3+1-dimensional gauge theories at finite temperature and a finite density of charges which couple to a 2+1-dimensional Chern-Simons operator, giving rise to a theta-term with constant spatial gradient of theta. The strong-coupling limit of thermal N=4 super-Yang-Mills theory with this kind of anisotropic deformation has been used in the context of the AdS/CFT correspondence as a model for strongly coupled anisotropic quark-gluon plasma. In this paper we work out the thermodynamics and the (nontrivial) phase diagram in the limit of vanishing gauge coupling and compare with the corresponding strong-coupling results.