Understanding of QCD at high density from Z3-symmetric QCD-like theory

Understanding of QCD at high density from Z3-symmetric QCD-like theory
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从 Z3 对称 QCD 类理论理解高密度 QCD

DOI:
10.1103/physrevd.93.056009
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发表时间:
2015
期刊:
Phys.Rev.D
影响因子:
--
通讯作者:
Masanobu Yahiro
Masanobu Yahiro
中科院分区:
--
文献类型:
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作者:
Hiroaki Kouno;Kouji Kashiwa;Junichi Takahashi;Tatsuhiro Misumi;Masanobu Yahiro

文献摘要

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我们在很大程度上使用对称规范理论来研究QCD,其中是夸克数化学势和温度。我们在QCD中对夸克施加了风味相关的扭转边界条件。该理论以扭转角为参数,与QCD理论一致,并在时变为对称。对于QCD理论和对称规范理论,用Polyakov-loop扩展的Nambu-Jona-Lasinio模型在平面内绘制相图。在对称规范理论中,波利亚科夫环在受限相中为零,出现在和。完全受限相永远不会与彩色超导相共存,因为在彩色超导相中有限的双夸克凝聚会破坏对称性,然后使之成为有限的。时,CSC相比完全受限相更稳定。同时,由于手性凝聚物是不变的,在完全受限相中手性对称性可以被打破。因此,将完全受限相分为无手性对称恢复的完全受限相和有手性对称恢复的完全受限相。在低温下,对称类量子光盘理论的基本相结构仍保留在量子光盘中。讨论了对称理论中符号问题的性质。我们讨论了一个数值框架来计算at和at的可观测值。
We investigate QCD at largeby using-symmetricgauge theory, whereis the quark-number chemical potential andis temperature. We impose the flavor-dependent twist boundary condition on quarks in QCD. This QCD-like theory has the twist angleas a parameter, and agrees with QCD whenand becomes symmetric when. For both QCD and the-symmetricgauge theory, the phase diagram is drawn in–plane with the Polyakov-loop extended Nambu–Jona-Lasinio model. In the-symmetricgauge theory, the Polyakov loopis zero in the confined phase appearing atand. The perfectly confined phase never coexists with the color superconducting (CSC) phase, since finite diquark condensate in the CSC phase breakssymmetry and then makesfinite. When, the CSC phase is more stable than the perfectly confined phase at. Meanwhile, the chiral symmetry can be broken in the perfectly confined phase, since the chiral condensate isinvariant. Consequently, the perfectly confined phase is divided into the perfectly confined phase without chiral symmetry restoration in a region ofandand the perfectly confined phase with chiral symmetry restoration in a region ofand. At low temperature, the basic phase structure of-symmetric QCD-like theory remains in QCD. Properties of the sign problem in-symmetric theory are also discussed. We discuss a numerical framework to evaluate observables atfrom those at.