Pion String evolving in a thermal bath

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.

13 pages, 3 figures,Accepted for publication in Physical Review D. arXiv admin note: text overlap with arXiv:1310.1600 by other authors