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arXiv 1903.04801hep-lathep-phhep-thnucl-th
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(2+1)-Flavor QCD中的手性相变温度

Chiral phase transition temperature in (2+1)-Flavor QCD

H. -T. Ding, P. Hegde, O. Kaczmarek, F. Karsch, Anirban Lahiri, S. -T. Li, Swagato Mukherjee, H. Ohno, P. Petreczky, C. Schmidt, P. Steinbrecher

摘要:

本文提出了一种基于格点量子色动力学的方法,测定了具有两个简并无质量夸克和一个物理奇夸克质量的QCD中的手征相变温度。我们提出并计算了两个新的估计手征转变温度的轻夸克质量的几个值,对应于戈德斯通介子质量范围内的$58~{\rm MeV}\lesssim m_π\lesssim 163~{\rm MeV}$。手征相变温度是由外推到消失的π介子质量使用通用标度分析。通过使用$2.8$ - $4.5$乘以π介子质量的倒数的范围内的空间晶格范围外推到热力学极限来控制有限体积效应。通过使用三个不同的晶格截止值进行连续外推,对应于具有时间范围$N_τ=6,\ 8$和$12$的晶格。经过热力学、连续谱和手性外推,我们找到了手性相变温度$T_c^0=132^{+3}_{-6}$ MeV。

英文摘要:

We present a lattice QCD based determination of the chiral phase transition temperature in QCD with two degenerate, massless quarks and a physical strange quark mass. We propose and calculate two novel estimators for the chiral transition temperature for several values of the light quark masses, corresponding to Goldstone pion masses in the range of $58~{\rm MeV}\lesssim m_π\lesssim 163~{\rm MeV}$. The chiral phase transition temperature is determined by extrapolating to vanishing pion mass using universal scaling analysis. Finite volume effects are controlled by extrapolating to the thermodynamic limit using spatial lattice extents in the range of $2.8$-$4.5$ times the inverse of the pion mass. Continuum extrapolations are carried out by using three different values of the lattice cut-off, corresponding to lattices with temporal extent $N_τ=6,\ 8$ and $12$. After thermodynamic, continuum and chiral extrapolations we find the chiral phase transition temperature $T_c^0=132^{+3}_{-6}$ MeV.

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