C and P violations in the PNJL model

TL;DR

This paper investigates charge conjugation (C) and parity (P) violations in the PNJL model under specific theta and mu conditions, revealing their near-simultaneous occurrence with deconfinement and chiral symmetry restoration.

Contribution

It demonstrates the conditions under which C violation and P restoration occur simultaneously in the PNJL model at specific theta and mu values.

Findings

C violation and P restoration occur near-simultaneously at theta=pi and Theta=pi/3.

C violation and P restoration are linked to deconfinement and chiral symmetry restoration.

The phenomena happen almost simultaneously under certain temperature and parameter conditions.

Abstract

Using the PNJL model, we investigate C and P violations when theta =pi and Theta =mu/(iT)=\pi/3, where T, theta and mu are the temperature, the parameter of theta-vacuum and the quark number chemical potential, respectively. It is shown that the C violation and the P restoration happen almost simultaneously at theta=pi and Theta =pi/3, if the deconfinement and the chiral symmetry restoration happen almost simultaneously at theta =Theta =0.