arXiv:hep-ph/0309055·v1·High Energy Physics — Phenomenology
On the Chiral Phase Transition in the Linear Sigma Model
Tran Huu Phat🇻🇳 · Nguyen Tuan Anh🇻🇳 · Le Viet Hoa🇻🇳
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.
Comments: 12 pages, 4 figures