Fermionic quantum gas at finite temperature within a Lorentz violating background

TL;DR

This paper investigates the behavior of a fermionic quantum gas at finite temperature in a Lorentz-violating background, deriving the effective action and discussing potential phenomenological implications.

Contribution

It introduces a novel analysis of fermionic gases considering Lorentz violation and finite temperature effects using path integral and Matsubara formalisms.

Findings

Effective action derived for fermionic gases with Lorentz violation

Finite temperature effects incorporated via Matsubara formalism

Phenomenological comments provided on Lorentz-violating quantum gases

Abstract

In this work we consider a fermionic quantum gas within a Lorentz-Violating background at finite temperature. We derive the effective action within Path Integral formalism considering the interaction of external electromagnetic field and Lorentz violating background fields with quantum fermions. To introduce the temperature effects, we employ the Matsubara formalism. Comments about the corresponding phenomenology are also made.