Dynamical Chiral Symmetry Breaking and its Restoration for an Accelerated Observer

TL;DR

This paper explores how uniform acceleration affects chiral symmetry breaking and restoration using the Nambu-Jona-Lasinio model in Rindler coordinates, revealing critical conditions for phase transition.

Contribution

It introduces a novel analysis of chiral symmetry dynamics under acceleration by applying the NJL model in Rindler spacetime, deriving critical parameters for symmetry restoration.

Findings

Critical acceleration for symmetry restoration identified

Effective potential and gap equation derived in Rindler coordinates

Conditions for dynamical chiral symmetry breaking established

Abstract

Based on the Hawking-Unruh thermalization theorem, we investigate the phenomenon of the dynamical chiral symmetry breaking and its restoration for a uniformly accelerated observer. We employ the Nambu$-$Jona-Lasinio model in Rindler coordinates, and calculate the effective potential and the gap equation. The critical coupling and the critical acceleration for symmetry restoration are obtained.