On the Chiral Phase Transition in the Linear Sigma Model

Details On the Chiral Phase Transition in the Linear Sigma Model On the Chiral Phase Transition in the Linear Sigma Model

2003-09-05

arxiv.org/abs/hep-ph/0309055v1

Eur.Phys.J. A19 (2004) 359-365

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 4 figures

Scientific paper

10.1140/epja/i2002-10309-0

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.

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