论文标题
使用梯度流量的Wilson Fermion计算PCAC质量
Calculation of PCAC mass with Wilson fermion using gradient flow
论文作者
论文摘要
我们以$（2+1）的价格计算PCAC质量$（2+1）$ take Full QCD和Wilson型夸克。我们采用基于梯度流的较小的流动时间扩展（SFTX）方法，这为我们提供了一种通用的方法，即使可观察到的相关对称性是由于晶格正则化，例如PoinCáre和手性符号，即使可观察到的相关对称性被明确损坏，也为我们提供了一种通用的方法。我们的计算是在重$ u，d $ quarks质量（$m_π/m_ρ\ simeq0.63 $）上执行的，大约是物理$ s $ s $ quark质量，带有细晶格$ a \ simeq 0.07 $ 〜fm。将结果与用Schrödinger函数方法计算的结果进行了比较。
We calculate the PCAC mass for $(2+1)$ flavor full QCD with Wilson-type quarks. We adopt the Small Flow-time eXpansion (SFtX) method based on the gradient flow which provides us a general way to compute correctly renormalized observables even if the relevant symmetries for the observable are broken explicitly due to the lattice regularization, such as the Poincáre and chiral symmetries. Our calculation is performed on heavy $u, d$ quarks mass ($m_π/m_ρ\simeq0.63$) and approximately physical $s$ quark mass with fine lattice $a \simeq 0.07$~fm. The results are compared with those computed with the Schrödinger functional method.
