Nf=2晶格QCD的轴向U(1)对称性、拓扑结构和高温狄拉克谱

Kei Suzuki, S. Aoki, Y. Aoki, G. Cossu, H. Fukaya, S. Hashimoto
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引用次数: 7

摘要

利用N_f = 2费米子的晶格QCD模拟,研究了手性对称性恢复的高温相的轴向U(1)$对称性、拓扑电荷和Dirac本征值谱。我们的测量系综是由莫比乌斯畴壁费米子产生的,但通过使用重叠/畴壁重加权技术,将磁化率等测量值重新加权为重叠费米子的测量值。我们发现在小夸克质量区,U(1)_A和拓扑磁化率被强烈抑制,这与狄拉克谱上的手性零和低非零模式的减少有关。我们还研究了它们的体积依赖性。
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Axial U(1) symmetry, topology, and Dirac spectra at high temperature in Nf=2 lattice QCD
Using lattice QCD simulations with $N_f = 2$ dynamical fermions, we study the axial $U(1)$ symmetry, topological charge, and Dirac eigenvalue spectra in the high-temperature phase in which the chiral symmetry is restored. Our gauge ensembles are generated with Mobius domain-wall fermions, but the measurements such as susceptibilities are reweighted to those for the overlap fermions by using overlap/domain-wall reweighting technique. We find that the $U(1)_A$ and topological susceptibilities are strongly suppressed in the small quark mass region, which is related to the reduction of chiral-zero and low-nonzero modes on the Dirac spectra. We also examine their volume dependence.
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