论文标题

Polyakov环和相关可观察到手性对称性恢复的敏感性

Sensitivity of the Polyakov loop and related observables to chiral symmetry restoration

论文作者

Clarke, David Anthony, Kaczmarek, Olaf, Karsch, Frithjof, Lahiri, Anirban, Sarkar, Mugdha

论文摘要

虽然polyakov环是QCD重夸克质量状态中解元转变的顺序参数,但其对光的变形的敏感性,但QCD中动态夸克的敏感性并不明显。另一方面,polyakov环的夸克质量依赖性对手性相变的外观敏感。使用晶格QCD计算在晶格间距的有限值中的交错离散方案中,$ at = 1/8 $,我们首次在这里显示Polyakov循环的期望值,而从中提取的重夸克自由能像能量的Quark自由能一样,在chiral chiral Phastition Pertricition Presisition $ $ ts_ $ t $ t y t the the cobserve y the comperve y the the。与3- $ d $,O(2)通用类别中的能量样观测值的缩放行为一致,夸克质量衍生物以$ t_c $的方式分歧,而温度衍生物保持有限。后者将以$ t_c $开发一个特征性尖峰。但是,这只能在计算中解决,夸克质量的计算比晶格QCD计算中目前可访问的数量级小两个数量级。

While the Polyakov loop is an order parameter of the deconfinement transition in the heavy quark mass regime of QCD, its sensitivity to the deconfinement of light, dynamical quarks in QCD is not apparent. On the other hand, the quark mass dependence of the Polyakov loop is sensitive to the appearance of a chiral phase transition. Using lattice QCD calculations in the staggered fermion discretization scheme at finite values of the lattice spacing, $aT = 1/8$, we show here, for the first time, that the Polyakov loop expectation value, and the heavy quark free energy extracted from it, behave like energy-like observables in the vicinity of the chiral phase transition temperature $T_c$. Consistent with scaling behavior of energy-like observables in the 3-$d$, O(2) universality class, the quark mass derivatives diverge in the chiral limit at $T_c$ while the temperature derivatives stay finite. The latter will develop a characteristic spike at $T_c$. This, however, may be resolved only in calculations with quark masses being two orders of magnitude smaller than those currently accessible in lattice QCD calculations.

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