Evidence of effective axial U(1) symmetry restoration at high temperature QCD

Evidence of effective axial U(1) symmetry restoration at high temperature QCD
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高温 QCD 下有效恢复轴 U(1) 对称性的证据

DOI:
10.1103/physrevd.96.034509
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发表时间:
2016
期刊:
影响因子:
5
通讯作者:
J. Noaki
J. Noaki
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Tomiya;G. Cossu;S. Aoki;H. Fukaya;S. Hashimoto;T. Kaneko;J. Noaki

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研究了有限温度下双味格点QCD中的轴U(1)对称性。采用莫比乌斯畴壁费米子,我们产生规范配置略高于临界温度Tc与不同的晶格尺寸L=2-4 FM。我们的行动允许频繁的拓扑隧穿,同时保持良好的手征对称性足够接近重叠费米子。这使我们能够通过重叠/畴壁重新加权来恢复完全的手征对称性。以上的相变,一个强烈的抑制的低洼模式中观察到的重叠和畴壁狄拉克光谱。然而,我们发现了一个相当大的违反Ginsparg-Wilson关系的莫比乌斯域壁狄拉克本征模,这主导了信号的轴向U(1)对称性破缺附近的手征极限。我们还发现,使用重叠费米子只在价部门是危险的,因为它遭受的文物,由于部分淬火。将Mobius畴壁费米子行列式重新加权为重叠费米子行列式,我们观察到在手征极限下轴向U(1)破缺为零,这对于晶格体积和晶格间距的变化是稳定的.
We study the axial U(1) symmetry at a finite temperature in two-flavor lattice QCD. Employing the Mobius domain-wall fermions, we generate gauge configurations slightly above the critical temperature Tc with different lattice sizes L=2–4  fm. Our action allows frequent topology tunneling while keeping good chiral symmetry close enough to that of overlap fermions. This allows us to recover full chiral symmetry by an overlap/domain-wall reweighting. Above the phase transition, a strong suppression of the low-lying modes is observed in both overlap and domain-wall Dirac spectra. We, however, find a sizable violation of the Ginsparg-Wilson relation in the Mobius domain-wall Dirac eigenmodes, which dominates the signals of the axial U(1) symmetry breaking near the chiral limit. We also find that the use of the overlap fermion only in the valence sector is dangerous since it suffers from the artifacts due to partial quenching. Reweighting the Mobius domain-wall fermion determinant to that of the overlap fermion, we observe the axial U(1) breaking to vanish in the chiral limit, which is stable against the changes of the lattice volume and lattice spacing.
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:
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