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The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions

机译:从晶格QCD中手性过渡和U(1)_a对称性恢复   使用Domain Wall Fermions

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摘要

We present results on both the restoration of the spontaneously broken chiralsymmetry and the effective restoration of the anomalously broken U(1)_Asymmetry in finite temperature QCD at zero chemical potential using latticeQCD. We employ domain wall fermions on lattices with fixed temporal extentN_\tau = 8 and spatial extent N_\sigma = 16 in a temperature range of T = 139 -195 MeV, corresponding to lattice spacings of a \approx 0.12 - 0.18 fm. Inthese calculations, we include two degenerate light quarks and a strange quarkat fixed pion mass m_\pi = 200 MeV. The strange quark mass is set near itsphysical value. We also present results from a second set of finite temperaturegauge configurations at the same volume and temporal extent with slightlyheavier pion mass. To study chiral symmetry restoration, we calculate thechiral condensate, the disconnected chiral susceptibility, and susceptibilitiesin several meson channels of different quantum numbers. To study U(1)_Arestoration, we calculate spatial correlators in the scalar and pseudo-scalarchannels, as well as the corresponding susceptibilities. Furthermore, we alsoshow results for the eigenvalue spectrum of the Dirac operator as a function oftemperature, which can be connected to both U(1)_A and chiral symmetryrestoration via Banks-Casher relations.
机译:我们提出了关于自发断裂的手性对称性的恢复以及有限温度QCD上零晶格使用CDQ的异常断裂U(1)_Asymmetry的有效恢复的结果。我们在T = 139 -195 MeV的温度范围内,对应于约0.12-0.18 fm的晶格间距,在固定的时间范围N_tau = 8和空间范围N_ \ sigma = 16的晶格上使用畴壁费米子。在这些计算中,我们包括两个退化的轻夸克和一个奇怪的夸克固定介子质量m_ \ pi = 200 MeV。奇异的夸克质量接近其物理值。我们还介绍了在相同体积和时间范围内具有稍重的介子质量的第二组有限温度规配置的结果。为了研究手性对称还原,我们计算了不同量子数的几个介子通道中的手性缩合物,未连接的手性磁化率和磁化率。为了研究U(1)_Arestoration,我们计算了标量和伪标量通道中的空间相关因子,以及相应的磁化率。此外,我们还显示了Dirac算子的特征值谱随温度的变化结果,该结果可以通过Banks-Casher关系与U(1)_A和手性对称性恢复连接。

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