Dynamical Lorentz symmetry breaking in a 4D massless four-fermion model

TL;DR

This paper investigates spontaneous Lorentz symmetry breaking in a 4D massless four-fermion model, revealing a bumblebee potential with nontrivial minima and phase transitions restoring Lorentz invariance at finite temperature.

Contribution

It introduces a novel analysis of Lorentz symmetry breaking using rationalized propagators and demonstrates phase transitions at finite temperature.

Findings

A bumblebee potential emerges from one-loop calculations.

Nontrivial minima indicate spontaneous Lorentz symmetry breaking.

Finite temperature can restore Lorentz invariance.

Abstract

In this paper, we study the spontaneous Lorentz symmetry breaking for a four-dimensional massless four-fermion model. Our methodology is based on use of the rationalized propagator. We show that a bumblebee potential arises as a result of one-loop calculations and displays nontrivial minima. Also we demonstrate that a phase transition restoring Lorentz invariance can occur at a finite temperature.