U (1) axial symmetry and Dirac spectra in QCD at high temperature

U (1) axial symmetry and Dirac spectra in QCD at high temperature
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U(1)轴对称性和高温QCD中的狄拉克谱

DOI:
10.1007/jhep01(2016)141
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发表时间:
2015
影响因子:
5.4
通讯作者:
N. Yamamoto
N. Yamamoto
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
T. Kanazawa;N. Yamamoto

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在高温下,我们得到了QCD手性对称相中U(1)A反常对称性的一些精确结果。我们讨论了拓扑和有限体积效应对以手性磁化率差异为特征的U(1)A对称违逆的重要性。特别地,我们提出了一种可靠的方法来测量具有固定拓扑的晶格模拟中的异常强度。我们还得到了新的谱和规则和一个新的bank - casher型关系。通过谱分析,我们得到了关于高温下U(1) a对称性有效恢复的Aoki-Fukaya-Taniguchi“定理”的一个简单的替代证明。
A bstractWe derive some exact results concerning the anomalous U(1)A symmetry in the chirally symmetric phase of QCD at high temperature. We discuss the importance of topology and finite-volume effects on the U(1)A symmetry violation characterized by the difference of chiral susceptibilities. In particular, we present a reliable method to measure the anomaly strength in lattice simulations with fixed topology. We also derive new spectral sum rules and a novel Banks-Casher-type relation. Through our spectral analysis we arrive at a simple alternative proof of the Aoki-Fukaya-Taniguchi “theorem” on the effective restoration of the U(1)A symmetry at high temperature.
DOI: 10.1103/physrevd.91.094504
发表时间: 2015
期刊: Physical Review D
影响因子: 5
作者:
V. Dick;F. Karsch;E. Laermann;S. Mukherjee;S. Sharma
通讯作者: S. Sharma