English

On the Chiral Phase Transition in the Linear Sigma Model

High Energy Physics - Phenomenology 2009-11-10 v1

Abstract

The Cornwall-Jackiw-Tomboulis (CJT) effective action for composite operators at finite temperature is used to investigate the chiral phase transition within the framework of the linear sigma model as the low-energy effective model of quantum chromodynamics (QCD). A new renormalization prescription for the CJT effective action in the Hartree-Fock (HF) approximation is proposed. A numerical study, which incorporates both thermal and quantum effect, shows that in this approximation the phase transition is of first order. However, taking into account the higher-loop diagrams contribution the order of phase transition is unchanged.

Keywords

Cite

@article{arxiv.hep-ph/0309055,
  title  = {On the Chiral Phase Transition in the Linear Sigma Model},
  author = {Tran Huu Phat and Nguyen Tuan Anh and Le Viet Hoa},
  journal= {arXiv preprint arXiv:hep-ph/0309055},
  year   = {2009}
}

Comments

12 pages, 4 figures

R2 v1 2026-07-22T13:49:51.467Z