论文标题
用$ n _ {\ rm f} = 2 $ Wilson Fermions的晶格QCD的临界点
Deconfinement critical point of lattice QCD with $N_{\rm f}=2$ Wilson fermions
论文作者
论文摘要
$ {\ rm su}（3）$纯表理论表现出由于其全局$ Z_3 $中心对称性的自发破坏而导致的一阶热解式过渡。当添加重型动力学夸克时，该对称性会明确折断，并且过渡随着夸克质量的减小而削弱，直到其在临界点消失为止。我们计算晶格QCD的关键跳跃参数和相关的pion质量，$ n_f = 2 $ n_ferson wilson fermions on \ in \ in \ {6,8,10 \} $ lattices，对应于lattice spacings $ a = 0.12 $ a = 0.07 \，{\ rm fm} $。观察到明显的截止效应，随着晶格的细胞增长，一阶区域会增加。虽然当前的晶格仍然太粗糙，无法进行连续外推，但我们估计$m_π^c \大约4 {\ rm gev} $，其剩余的系统误差为$ \ sim 20 \％$。我们的结果允许评估文献中用于各种目的中使用的LO和NLO跳跃扩展的费米昂决定因素的准确性。我们还提供了此类计算所需的统计数据的详细研究，这对于手性转变的类似研究很有用。
The ${\rm SU}(3)$ pure gauge theory exhibits a first-order thermal deconfinement transition due to spontaneous breaking of its global $Z_3$ center symmetry. When heavy dynamical quarks are added, this symmetry is broken explicitly and the transition weakens with decreasing quark mass until it disappears at a critical point. We compute the critical hopping parameter and the associated pion mass for lattice QCD with $N_f=2$ degenerate standard Wilson fermions on $N_τ\in\{6,8,10\}$ lattices, corresponding to lattice spacings $a=0.12\, {\rm fm}$, $a=0.09\, {\rm fm}$, $a=0.07\, {\rm fm}$, respectively. Significant cut-off effects are observed, with the first-order region growing as the lattice gets finer. While current lattices are still too coarse for a continuum extrapolation, we estimate $m_π^c\approx 4 {\rm GeV}$ with a remaining systematic error of $\sim 20\%$. Our results allow to assess the accuracy of the LO and NLO hopping expanded fermion determinant used in the literature for various purposes. We also provide a detailed investigation of the statistics required for this type of calculation, which is useful for similar investigations of the chiral transition.
