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On the Chiral Phase Transition in the Linear Sigma Model

Tran Huu Phat·Nguyen Tuan Anh·Le Viet Hoa
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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.

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Tran Huu Phat, Nguyen Tuan Anh, Le Viet Hoa. 2003-09-05. On the Chiral Phase Transition in the Linear Sigma Model. https://doi.org/10.1140/epja%2Fi2002-10309-0

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