Dynamical Lorentz symmetry breaking in a 4D four-fermion model at finite temperature

TL;DR

This paper investigates how Lorentz and CPT symmetries, broken at low temperatures, can be dynamically restored at a critical temperature in a four-fermion model, using gap equation analysis.

Contribution

It introduces a finite-temperature analysis of symmetry restoration in a 4D four-fermion model, highlighting the conditions for critical temperature and symmetry recovery.

Findings

Symmetries are restored at a specific critical temperature.

The gap equation determines the temperature-dependent phase transition.

Symmetry breaking depends on model parameters.

Abstract

In a 4D four-fermion model we study the dynamical restoration of Lorentz and CPT symmetries at finite temperature. We evaluate the gap equation both at zero and at finite temperature and observe that, depending on the parameters of the theory, there is a critical temperature at which the Lorentz and CPT symmetries are restored.