Wigner solution of the quark gap equation at nonzero current quark mass and partial restoration of chiral symmetry at finite chemical potential
Wigner solution of the quark gap equation at nonzero current quark mass and partial restoration of chiral symmetry at finite chemical potential
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DOI：
10.1103/physrevd.85.034031
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发表时间：
2011-07
影响因子：
5
通讯作者：
Yu Jiang;Hao Gong;Wei-Min Sun;H. Zong
中科院分区：
文献类型：
--
作者：
Yu Jiang;Hao Gong;Wei-Min Sun;H. Zong
根据普遍接受的QCD相图，在低温和高重子数密度下，QCD的手性相变是一级的，并且应该出现Nambu-Goldstone相和Wigner相的共存。这与通常的说法相冲突，即夸克间隙方程在当前夸克质量非零的情况下没有维格纳解。在本文中，我们分析了通常处理中不存在维格纳解的原因，并尝试提出一种新的方法来讨论这个问题。第一步，我们采用改进的 Nambu-Jona-Lasinio (NJL) 模型来研究有限当前夸克质量下的维格纳解。然后，我们将这种方法推广到有限化学势的情况，讨论有限化学势下手性对称性的部分恢复，并将我们的结果与正常 NJL 模型中的结果进行比较。
According to the generally accepted phase diagram of QCD, at low temperature and high baryon number density the chiral phase transition of QCD is of first order and the co-existence of the Nambu-Goldstone phase and the Wigner phase should appear. This is in conflict with the usual claim that the quark gap equation has no Wigner solution in the case of nonzero current quark mass. In this paper we analyze the reason why the Wigner solution does not exist in the usual treatment and try to propose a new approach to discuss this question. As a first step, we adopt a modified Nambu-Jona-Lasinio (NJL) model to study the Wigner solution at finite current quark mass. We then generalize this approach to the case of finite chemical potential and discuss partial restoration of chiral symmetry at finite chemical potential and compare our results with those in the normal NJL model.