arXiv 1602.021972016-02-06hep-lathep-phnucl-th

格点上具有手征费米子的强耦合QGP的拓扑结构

The topological structures in strongly coupled QGP with chiral fermions on the lattice

Sayantan Sharma, Viktor Dick, Frithjof Karsch, Edwin Laermann, Swagato Mukherjee

备注：: 4 Pages, 3 Figures, Proceedings of Quark Matter 2015, Kobe, Japan, version accepted for publication in Nucl. Phys. A
DOI：: 10.1016/j.nuclphysa.2016.02.013

摘要：

双味QCD中手征相变的性质是一个有趣但尚未解决的问题。最有趣的问题之一是味道部分的异常U（1）对称性是否与手征对称性一起被有效地恢复。这可能决定了手性相变的普适性类别。由于物理附近的手征相变基本上是非微扰的，我们采用第一性原理晶格技术来解决这个问题。我们利用在晶格上具有精确手征对称性的重叠费米子来研究具有畴壁费米子的2+1味动力学QCD组态的反常U（1）对称性破坏。后者也最佳地保持手征对称性和味对称性的晶格，因为它是已知的，残余的轻夸克的手征对称性影响的手征凝聚体在交叉过渡区的标度。我们观察到反常的U（1）在手征交叉区不能有效地恢复。由于U（1）破坏的信号对有限尺寸和截止效应敏感，我们对有限尺寸和截止效应进行了系统的研究，并对导致夸克-胶子等离子体相强相互作用性质的QCD介质的微观拓扑结构进行了初步的探讨.我们研究这些微观成分的影响，通过我们的第一个计算的拓扑磁化率的QCD在有限的温度下，这可能是一个重要的输入状态方程的反常流体动力学。

英文摘要：

The nature of chiral phase transition for two flavor QCD is an interesting but unresolved problem. One of the most intriguing issues is whether or not the anomalous U(1) symmetry in the flavor sector is effectively restored along with the chiral symmetry. This may determine the universality class of the chiral phase transition. Since the physics near the chiral phase transition is essentially non-perturbative, we employ first principles lattice techniques to address this issue. We use overlap fermions, which have exact chiral symmetry on the lattice, to probe the anomalous U(1) symmetry violation of 2+1 flavor dynamical QCD configurations with domain wall fermions. The latter also optimally preserves chiral and flavor symmetries on the lattice, since it is known that the remnant chiral symmetry of the light quarks influences the scaling of the chiral condensate in the crossover transition region. We observe that the anomalous U(1) is not effectively restored in the chiral crossover region. We perform a systematic study of the finite size and cut-off effects since the signals of U(1) violation are sensitive to it. We also provide a glimpse of the microscopic topological structures of the QCD medium that are responsible for the strongly interacting nature of the quark gluon plasma phase. We study the effect of these microscopic constituents through our first calculations for the topological susceptibility of QCD at finite temperature, which could be a crucial input for the equation of state for anomalous hydrodynamics.

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