On the Chiral Phase Transition in the Linear Sigma Model

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.

12 pages, 4 figures

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Cited by in corpus (2)

• On the symmetry improved CJT formalism in the $O(4)$ linear sigma model
• Pion String evolving in a thermal bath