Title: Two flavors of dynamical quarks on anisotropic lattices Show Chinese title

Title: 各向异性晶格上的两种味动力学夸克

Abstract: We report on our study of two-flavor full QCD on anisotropic lattices using $O(a)$-improved Wilson quarks coupled with an RG-improved glue. The bare gauge and quark anisotropies corresponding to the renormalized anisotropy $\xi=a_s/a_t = 2$ are determined as functions of $\beta$ and $\kappa$, which covers the region of spatial lattice spacings $a_s\approx 0.28$--0.16 fm and $m_{PS}/m_V\approx 0.6$--0.9. The calibrations of the bare anisotropies are performed with the Wilson loop and the meson dispersion relation at 4 lattice cutoffs and 5--6 quark masses. Using the calibration results we calculate the meson mass spectrum and the Sommer scale $r_0$. We confirm that the values of $r_0$ calculated for the calibration using pseudo scalar and vector meson energy momentum dispersion relation coincide in the continuum limit within errors. This work serves to lay ground toward studies of heavy quark systems and thermodynamics of QCD including the extraction of the equation of state in the continuum limit using Wilson-type quark actions. Show Chinese abstract

Abstract: 我们报告了使用各向异性晶格上具有 RG 改进的胶子耦合的$O(a)$改进的 Wilson 腕行动物的两味全 QCD 的研究。对应的归一化各向异性$\xi=a_s/a_t = 2$的裸规范和腕子各向异性被确定为$\beta$和$\kappa$的函数，覆盖的空间晶格间距区域为$a_s\approx 0.28$至 0.16 fm 和$m_{PS}/m_V\approx 0.6$至 0.9。 通过 Wilson 环路和介子色散关系在 4 个晶格截止值和 5-6 个腕子质量下执行裸各向异性校准。利用校准结果，我们计算了介子质量谱和 Sommer 标度$r_0$。 我们确认，用赝标量和矢量介子的能量动量色散关系对校准所计算出的$r_0$值，在连续极限下与误差范围内的值是一致的。 本工作为进一步研究重夸克系统和 QCD 的热力学奠定了基础，其中包括利用 Wilson 型夸克作用提取连续极限下的状态方程。