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arXiv 1711.09239hep-lat
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2味格点量子色动力学高温轴向$U(1)$对称性

Axial $U(1)$ symmetry at high temperature in 2-flavor lattice QCD

Kei Suzuki, Sinya Aoki, Yasumichi Aoki, Guido Cossu, Hidenori Fukaya, Shoji Hashimoto

摘要:

本文研究了双味格点量子色动力学在临界温度以上的轴向$U(1)_A$对称性破缺。系综是由动力学莫比乌斯畴壁或重加权重叠费米子产生的。$U(1)_A$磁化率是从重叠的狄拉克本征值的低模谱中提取的。我们给出了$U(1)_A$磁化率与夸克质量和温度的关系。我们在$T=220 \, \mathrm{MeV}$的结果表明,$U(1)_A$对称性恢复到手征极限。观察到它与拓扑磁化率消失的一致性。

英文摘要:

We investigate the axial $U(1)_A$ symmetry breaking above the critical temperature in two-flavor lattice QCD. The ensembles are generated with dynamical Möbius domain-wall or reweighted overlap fermions. The $U(1)_A$ susceptibility is extracted from the low-modes spectrum of the overlap Dirac eigenvalues. We show the quark mass and temperature dependences of $U(1)_A$ susceptibility. Our results at $T=220 \, \mathrm{MeV}$ imply that the $U(1)_A$ symmetry is restored in the chiral limit. Its coincidence with vanishing topological susceptibility is observed.

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