Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation

TL;DR

This paper investigates how Lorentz symmetry breaking influences the thermodynamic behavior of ideal gases, revealing potential Bose-Einstein condensation in relativistic regimes due to topological effects.

Contribution

It introduces a novel analysis of Bose-Einstein gases under Lorentz symmetry violation, highlighting the emergence of condensation in relativistic regimes influenced by topological mass effects.

Findings

Bose-Einstein condensation occurs in both non-relativistic and relativistic regimes.

Topological mass acts as a chemical potential in the thermodynamics.

Condensation in the relativistic regime is a key new result.

Abstract

In this paper we study the effects of Lorentz Symmetry Breaking on thermodynamics properties of ideal gases. Inspired in the dispersion relation came from the Carroll-Field-Jackiw model for Electrodynamics with Lorentz and CPT violation term, we compute the thermodynamics quantities for a Boltzmann, Fermi-Dirac and Bose-Einstein distributions. Two regimes are analyzed: the non- relativistic and the relativistic one. In the first case we show that the topological mass induced by the Chern-Simons term behaves as a chemical potential. For the Bose-Einstein gases it could be found a condensation in both regimes, being the appearance of a condensate in the relativistic regime, the main contribution of this work.