arXiv 2009.140332020-09hep-lathep-phnucl-th

格点量子色动力学与$N_{\rm f}=2$ Wilson费米子的退禁闭临界点

Deconfinement critical point of lattice QCD with $N_{\rm f}=2$ Wilson fermions

Francesca Cuteri, Owe Philipsen, Alena Schön, Alessandro Sciarra

备注：: 12 pages, 6 figures, minor changes to match the version published in PRD
发表信息：: Phys. Rev. D 103, 014513 (2021)
DOI：: 10.1103/PhysRevD.103.014513

摘要：

${\rm SU}(3)$纯规范理论由于其整体${\rm SU}(3)$中心对称性的自发破缺而表现出一阶热退禁闭跃迁。当加入重动力学夸克时，这种对称性被明确破坏，跃迁随着夸克质量的减少而减弱，直到在临界点消失。计算了$N_τ\in\{6,8,10\}$格点上含$N_f=2$简并标准Wilson费米子的格点量子色动力学的临界跃迁参数和相应的π介子质量，分别对应于格点间距$a=0.12\, {\rm fm}$，$a=0.09\, {\rm fm}$，$a=0.07\, {\rm fm}$.观察到显着的截止效应，随着晶格变得更细，一阶区域的增长。虽然目前的晶格仍然太粗糙的连续外推，我们估计$m_π^c\approx 4 {\rm GeV}$与剩余的系统误差$\sim 20\%$。我们的研究结果可以评估的准确性的LO和NLO跳跃扩展费米子行列式在文献中用于各种目的。我们还提供了一个详细的调查，这种类型的计算，这是有用的手性过渡类似的调查所需的统计。

英文摘要：

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.

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