Study of the axial U(1) anomaly at high temperature with lattice chiral fermions

Study of the axial U(1) anomaly at high temperature with lattice chiral fermions
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晶格手性费米子高温下轴U(1)异常的研究

DOI:
10.1103/physrevd.103.074506
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发表时间:
2020
期刊:
arXiv: High Energy Physics - Lattice
影响因子:
--
通讯作者:
K. Suzuki
K. Suzuki
中科院分区:
--
文献类型:
--
作者:
S. Aoki;Y. Aoki;G. Cossu;H. Fukaya;S. Hashimoto;T. Kaneko;C. Rohrhofer;K. Suzuki

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本文研究了190- 330 MeV双味QCD的轴向U(1)反常。为了保持精确的手征对称性的晶格上,我们采用莫比乌斯域壁费米子行动,以及重叠费米子行动实施的随机重新加权技术。与我们之前的研究相比,我们将晶格间距减少到0.07 fm,模拟更大的多重体积来估计有限尺寸效应,并取四个以上的夸克质量点,包括物理点以下的一个质量点来研究手征极限。我们测量了介子和重子介子的拓扑磁化率、轴向U(1)磁化率和U(1)伴子的简并度。在临界温度以上的所有数据表明,在统计误差范围内,轴向U(1)破坏与零一致。夸克质量依赖性表明U(1)反常的消失速度与SU(2)_LxSU(2)_R对称性破缺的消失速度相当。
We investigate the axial U(1) anomaly of two-flavor QCD at temperatures 190--330 MeV. In order to preserve precise chiral symmetry on the lattice, we employ the Mobius domain-wall fermion action as well as overlap fermion action implemented with a stochastic reweighting technique. Compared to our previous studies, we reduce the lattice spacing to 0.07 fm, simulate larger multiple volumes to estimate finite size effect, and take more than four quark mass points, including one below physical point to investigate the chiral limit. We measure the topological susceptibility, axial U(1) susceptibility, and examine the degeneracy of U(1) partners in meson and baryon correlators. All the data above the critical temperature indicate that the axial U(1) violation is consistent with zero within statistical errors. The quark mass dependence suggests disappearance of the U(1) anomaly at a rate comparable to that of the SU(2)_L x SU(2)_R symmetry breaking.
DOI: 10.1038/nature20115
发表时间: 2016-11-03
期刊: NATURE
影响因子: 64.8
作者:
Borsanyi, S.;Fodor, Z.;Szabo, K. K.
通讯作者: Szabo, K. K.
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