arXiv 0806.47992008-06-30hep-phhep-lathep-thnucl-th

矢量型四夸克相互作用及其对QCD相结构的影响

Vector-type four-quark interaction and its impact on QCD phase structure

Yuji Sakai, Kouji Kashiwa, Hiroaki Kouno, Masayuki Matsuzaki, Masanobu Yahiro

备注：: 8 pages, 11 figures
发表信息：: Phys.Rev.D78:076007,2008
DOI：: 10.1103/PhysRevD.78.076007

摘要：

利用具有扩展Z3对称性的Polyakov圈扩展Nambu-Jona-Lasinio（PNJL）模型，在虚化学势区研究了矢量型四夸克相互作用对QCD相结构的影响.在此过程中，我们解析地阐明了在矢量型四夸克相互作用存在下各种量的Roberge-Weiss周期性和对称性。在虚化学势区域，手征凝聚和夸克数密度对相互作用的强度敏感。基于这一结果，我们提出了一种可能性，以确定的矢量型相互作用的强度，这在很大程度上影响QCD相结构在真实的化学势区域，通过比较晶格模拟和有效的模型计算的结果在虚化学势区域。

英文摘要：

Effects of the vector-type four-quark interaction on QCD phase structure are investigated in the imaginary chemical potential region, by using the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model with the extended Z3 symmetry. In the course to this end, we clarify analytically the Roberge-Weiss periodicity and symmetry properties of various quantities under the existence of a vector-type four-quark interaction. In the imaginary chemical potential region, the chiral condensate and the quark number density are sensitive to the strength of the interaction. Based on this result, we propose a possibility to determine the strength of the vector-type interaction, which largely affects QCD phase structure in the real chemical potential region, by comparing the results of lattice simulations and effective model calculations in the imaginary chemical potential region.

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