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Prog. Theor. Phys. Vol. 115 No. 1 (2006) pp. 165-188

[ Full Text PDF : FREE ACCESS (412K) ]

The Chiral Phase Transition of Hot QCD from the Exact Renormalization Group

Dai Shimizube1,* and Jun-Ichi Sumi2,**

1Graduate School of Human and Environmental Studies, Kyoto University, Kyoto 606-8501, Japan
2Riverroad Takano 221, Ooharada-cho 8, Ichijoji, Kyoto 606-8187, Japan

(Received November 9, 2003)

Abstract:

The chiral phase transition of finite temperature QCD is investigated in the ladder approximated exact (Wilson) renormalization group (ERG). The gluon thermal mass is incorporated using the hard thermal loop (HTL) approximation. We calculate a critical temperature Tc, a critical exponent ν, and order parameters, such as the chiral condensate <ψψ> and pion decay constants, with this approximation. The dependences of the pion decay constants on an unphysical parameter are improved significantly by including contributions from momentum dependent vertices. The critical temperature is found to be Tc ≈124 MeV for 3 flavors. It is shown that the critical temperature depends strongly on the approximation scheme used for the gluon thermal mass term. We also calculate the temperature dependence of the chiral condensate, π decay constants, and the pion velocity.


URL : http://ptp.ipap.jp/link?PTP/115/165/
DOI : 10.1143/PTP.115.165


*E-mail: simizube@phys.h.kyoto-u.ac.jp
**E-mail: j-sumi@blue.vecceed.ne.jp

[ Full Text PDF : FREE ACCESS (412K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 121 No. 4 (2009) pp. 875-884 :
    Evaluation of the Spontaneous Chiral Symmetry Breaking Scale in General Gauge Theories with Non-Perturbative Renormalization Group
    Ken-Ichi Aoki and Kazuhiro Miyashita

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