Chiral and deconfinement transitions in strong coupling lattice QCD with finite coupling and Polyakov loop effects

Chiral and deconfinement transitions in strong coupling lattice QCD with finite coupling and Polyakov loop effects
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DOI:
10.1103/physrevd.83.016014
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发表时间:
2010-09
期刊:
影响因子:
5
通讯作者:
T. Nakano;K. Miura;A. Ohnishi
T. Nakano;K. Miura;A. Ohnishi
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
T. Nakano;K. Miura;A. Ohnishi

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在有限温度和夸克化学势下,研究了具有一种无根交错费米子的彩色SU(3)的强耦合晶格QCD框架中的手性跃迁和约束跃迁。我们考虑了有效作用中强耦合展开的阶Polyakov环项和次阶(1/g{sup 4})费米子项。我们通过比较两种近似方案,Haar测量方法(没有平均场波动)和Weiss平均场方法(有波动)来研究Polyakov环效应。得到了两种情况下的有效势,并解析地阐明了波利亚科夫环对有效势的贡献。发现Polyakov环抑制手性凝聚并降低{mu}=0时的手性转变温度,并且手性转变温度大致再现了{beta}=2N{sub c}/g{sup 2} <或近似时的蒙特卡罗结果。4. 发现定义跃迁是光(am{sub 0} <或近似)的交叉和一阶。在{β}=4)和重夸克质量分别为。
We investigate chiral and deconfinement transitions in the framework of the strong coupling lattice QCD for color SU(3) with one species of unrooted staggered fermion at finite temperature and quark chemical potential. We take account of the leading order Polyakov loop terms as well as the next-to-next-to-leading order (1/g{sup 4}) fermionic terms of the strong coupling expansion in the effective action. We investigate the Polyakov loop effects by comparing two approximation schemes, a Haar measure method (no fluctuation from the mean field) and a Weiss mean-field method (with fluctuations). The effective potential is obtained in both cases, and we analytically clarify the Polyakov loop contributions to the effective potential. The Polyakov loop is found to suppress the chiral condensate and to reduce the chiral transition temperature at {mu}=0, and the chiral transition temperature roughly reproduces the Monte Carlo results at {beta}=2N{sub c}/g{sup 2} < or approx. 4. The deconfinement transition is found to be the crossover and first order for light (am{sub 0} < or approx. 4 at {beta}=4) and heavy quark masses, respectively.