arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2104.04732hep-phhep-latnucl-th
收藏

低温下Z3-symmetric重夸克模型的非解析性、符号问题和Polyakov线：唯象模型分析

Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses

Hiroaki Kouno, Kouji Kashiwa, Takehiro Hirakida

备注：
14pages, 25figures
发表信息：
Phys. Rev. D 104, 014012 (2021)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

唯象地研究了低温下Z3对称重夸克模型的非解析性和符号问题。对于自由重夸克，分析了巨正则配分函数的非解析性。强耦合极限下的Z3对称有效Polyakov线模型（EPLM）也被认为是低温下大夸克质量Z3对称QCD的唯象模型。我们研究了Z3对称EPLM如何在零温度极限下接近原始EPLM。Z3-对称性的影响的微观概率密度函数的零点的结构在非分析点。在零温极限下，Polyakov线的平均值可以检测到结构，而其他热力学量对结构不敏感。本文还讨论了虚夸克化学势的影响。夸克数密度的虚部对非解析点的对称结构非常敏感。对于一个特定的虚夸克数化学势值，在非分析点附近可以诱导出大的夸克数。

英文摘要：

The nonanalyticity and the sign problem in the Z3-symmetric heavy quark model at low temperature are studied phenomenologically. For the free heavy quarks, the nonanalyticity is analyzed in the relation to the zeros of the grand canonical partition function. The Z3-symmetric effective Polyakov-line model (EPLM) in strong coupling limit is also considered as an phenomenological model of Z3-symmetric QCD with large quark mass at low temperature. We examine how the Z3-symmetric EPLM approaches to the original one in the zero-temperature limit. The effects of the Z3-symmetry affect the structure of zeros of the microscopic probability density function at the nonanalytic point. The average value of the Polyakov line can detect the structure, while the other thermodynamic quantities are not sensible to the structure in the zero-temperature limit. The effect of the imaginary quark chemical potential is also discussed. The imaginary part of the quark number density is very sensitive to the symmetry structure at the nonanalytical point. For a particular value of the imaginary quark number chemical potential, large quark number may be induced in the vicinity of the nonanalytical point.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑