Chiral symmetry breaking in accelerating and rotating frames

TL;DR

This paper investigates how chiral symmetry breaking and restoration are affected by acceleration and rotation, revealing scheme-dependent critical temperatures and the influence of combined acceleration and rotation on symmetry restoration.

Contribution

It introduces a detailed analysis of chiral symmetry in accelerating and rotating frames, highlighting the impact of different renormalization schemes and the interplay of acceleration and rotation.

Findings

Different renormalization schemes yield distinct critical temperature behaviors.

Acceleration and rotation together lower the critical acceleration for symmetry restoration.

Rotation enhances the effects of acceleration on chiral symmetry breaking.

Abstract

We study chiral symmetry breaking and restoration in accelerating and rotating frames using low-energy effective models. By analyzing the chiral condensate in Rindler coordinates, we show that different renormalization schemes lead to distinct conclusions in accelerating frame: the scheme with subtracting divergences in Rindler vacuum supports an acceleration-independent critical temperatures, while the other scheme with subtracting divergences in Minkowski vacuum suggests enhanced critical temperature. We further investigate system with both rotation and acceleration. We find that the critical acceleration (see definition in Section V) for chiral symmetry restoration decreases with angular velocity, indicating cooperative effects from acceleration-induced thermalization and rotation-induced effective chemical potential.