The Wigner solution and QCD phase transitions in a modified PNJL model
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Cui-2014-The Wigner solution.pdf
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Author(s)
Cui, Zhu-fang
Shi, Chao
Sun, Wei-min
Wang, Yong-long
Zong, Hong-shi
Date Issued
February 2014
Journal
The European Physical Journal C
Publisher
Springer-Verlag
Citation
Cui, Zhu-fang, Chao Shi, Wei-min Sun, Yong-long Wang, and Hong-shi Zong. “The Wigner Solution and QCD Phase Transitions in a Modified PNJL Model.” Eur. Phys. J. C 74, no. 2 (February 2014).
Version
Final published version
Abstract
By employing some modification to the widely used two-flavor Polyakov-loop extended Nambu–Jona–Lasinio (PNJL) model, we discuss the Wigner solution of the quark gap equation at finite temperature and zero quark chemical potential beyond the chiral limit, and then we try to explore its influence on the chiral and deconfinement phase transitions of QCD at finite temperature and zero chemical potential. The discovery of the coexistence of the Nambu and the Wigner solutions of the quark gap equation with nonzero current quark mass at zero temperature and zero chemical potential, as well as their evolutions with temperature, is very interesting for the studies of the phase transitions of QCD. According to our results, the chiral phase transition might be of first order (while the deconfinement phase transition is still a crossover, as in the normal PNJL model), and the corresponding phase transition temperature is lower than that of the deconfinement phase transition, instead of coinciding with each other, which are not the same as the conclusions obtained from the normal PNJL model. In addition, we also discuss the sensibility of our final results on the choice of model parameters.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1140/epjc/s10052-014-2782-x
