Pion String evolving in a thermal bath

TL;DR

This paper investigates the behavior and evolution of pion strings within a thermal environment during the chiral phase transition, utilizing the symmetry improved CJT formalism and Kibble-Zurek mechanism to estimate their density and potential signals.

Contribution

It introduces a novel analysis of pion string dynamics at finite temperature using the symmetry improved CJT formalism combined with the Kibble-Zurek mechanism.

Findings

Estimated pion string density during the chiral phase transition

Analyzed pion string evolution in a thermal bath

Proposed potential signals of pion strings in experiments

Abstract

By using the symmetry improved CJT effective formalism, we study a pion string of the $O(4)$ linear sigma model at finite temperature in chiral limit. In terms of the Kibble-Zurek mechanism we reconsider the production and evolution of the pion string in a thermal bath. Finally, we estimate the pion string density and its possible signal during the chiral phase transition.