论文标题
NF = 2 Wilson Fermions的两色QCD的相对规模设置
Relative scale setting for two-color QCD with Nf=2 Wilson fermions
论文作者
论文摘要
我们使用Iwasaki Gauge和Wilson Fermion操作确定了晶格上的比例设置功能和晶格上的伪临界温度。尽管两色QCD与现实世界不符，但它作为三色QCD的良好测试场非常有用。比例设置函数给出了在裸耦合的不同值下执行模拟的相对晶格间距。这是采用连续限制的必要工具。首先，我们测量了（$β，κ$）组合的梅森光谱，并在$β$ - $κ$平面中找到恒定物理线。接下来，我们通过$ W_0 $比例确定梯度流量方法的比例设置功能。此外，我们从手性敏感性中估算了零化学势下的伪关键温度。结合了这些结果，我们可以讨论QCD相图，其中两个轴都通过无量纲数量给出，即，拟态度的温度在晶格上归一化的温度以及伪尺度介子中质量归一化的化学电位。它使得在几个晶格研究中进行比较变得容易，并且可以在连续限制中比较理论分析和晶格研究。
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 ($β,κ$) and find a line of constant physics in $β$--$κ$ 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.
