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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Communicated by V. Vento
Received: 15 November 2002, Revised: 15 September 2003, Published online: 20 January 2004
PACS:
11.10.Wx Finite-temperature field theory - 11.10.Gh Renormalization - 11.30.Rd Chiral symmetries - 05.70.Fh Phase transitions: general studies
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Phat, T.H., Anh, N.T. & Hoa, L.V. On the chiral phase transition in the linear sigma model. Eur. Phys. J. A 19, 359–365 (2004). https://doi.org/10.1140/epja/i2002-10309-0
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DOI: https://doi.org/10.1140/epja/i2002-10309-0