CP violation and chiral symmetry restoration in the hot linear sigma model in a strong magnetic background

TL;DR

This paper investigates how CP violation and strong magnetic fields influence the chiral phase transition in the linear sigma model with quarks, revealing modifications in the transition's nature under these conditions.

Contribution

It provides a one-loop effective potential analysis of CP violation effects on the chiral transition in a magnetic background within the linear sigma model.

Findings

CP violation and magnetic fields alter the chiral transition's nature

Effective potential minima are affected by $ heta$ and magnetic field

Potential formation of CP-odd domains in heavy ion collisions

Abstract

We study the effects of CP violation on the nature of the chiral transition within the linear sigma model with two flavors of quarks. The finite-temperature effective potential containing contributions from nontrivial values for the parameter $\theta$ is computed to one loop order and their minima structure is analyzed. Motivated by the possibility of observing the formation of CP-odd domains in high-energy heavy ion collisions, we also investigate the behavior of the effective potential in the presence of a strong magnetic background. We find that the nature of the chiral transition is influenced by both $\theta$ and the magnetic field.