Relative scale setting for two-color QCD with $N_f=2$ Wilson fermions

K. Iida, E. Itou, Tong-Gyu Lee
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引用次数: 14

Abstract

We determine the scale setting function and the pseudo-critical temperature on the lattice in $N_f=2$ two-color QCD using the Iwasaki gauge and Wilson fermion actions. Although two-color QCD does not correspond to the real world, it is very useful as a good testing ground for three-color QCD. The scale setting function gives the relative lattice spacings of simulations performed at different values of the bare coupling. It is a necessary tool for taking the continuum limit. Firstly, we measure the meson spectra for various combinations of ($\beta,\kappa$) and find a line of constant physics in $\beta$--$\kappa$ plane. Next, we determine the scale setting function via $w_0$ scale in the gradient flow method. Furthermore, we estimate the pseudo-critical temperature at zero chemical potential from the chiral susceptibility. Combining these results, we can discuss the QCD phase diagram in which both axes are given by dimensionless quantities, namely, the temperature normalized by the pseudo-critical temperature on the lattice and the chemical potential normalized by the pseudoscalar meson mass. It makes it easy to compare among several lattice studies and also makes it possible to compare theoretical analyses and lattice studies in the continuum limit.
$N_f=2$ Wilson费米子双色QCD的相对尺度设置
利用Iwasaki规范和Wilson费米子作用确定了$N_f=2$双色QCD晶格上的尺度设定函数和伪临界温度。虽然双色QCD不符合现实世界,但作为三色QCD的良好试验场是非常有用的。尺度设置函数给出了在不同裸耦合值下进行的模拟的相对晶格间距。它是求连续统极限的必要工具。首先,我们测量了($\beta,\kappa$)的各种组合的介子光谱,并在$\beta$—$\kappa$平面上找到了一条恒定物理线。接下来,我们在梯度流法中通过$w_0$尺度确定尺度设置函数。此外,我们从手性磁化率估计了零化学势下的伪临界温度。结合这些结果,我们可以讨论两个轴都由无因次量给出的QCD相图,即由晶格上的伪临界温度归一化的温度和由伪标量介子质量归一化的化学势。它使不同晶格研究之间的比较变得容易,也使在连续体极限下比较理论分析和晶格研究成为可能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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