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arXiv 2201.04910hep-lat
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低能量常数和混合action效应

Low energy constant and mixed-action effect

Dian-Jun Zhao, Yi-Bo Yang

摘要:

利用畴壁费米子海上的重叠费米子价计算了几种晶格间距下的π介子质量和衰变常数。研究了晶格计算中的混合作用效应,结果表明,在DW海上,重叠价的混合作用效应与晶格间距的四次方成正比。通过${\cal O}(a^2)$连续谱外推,得到了在物理π介子质量和$N_f=2$手征极限下的π介子衰变常数分别为$92.4(3)(2)~{\rm MeV}$和$87.0(5)(7)~{\rm MeV}$,以及在$\overline{\textrm{MS}}$ 2 GeV下的物理u/d平均夸克质量为$3.74(4)(5)(5)(3)~{\rm MeV}$.利用非线性光学低能常数的FLAG值,我们得到了$N_f=2$手性缩合物为$Σ^{\overline{\textrm{MS}}(2~{\rm GeV})}=\big(266(2)(1)~{\rm MeV}\big)^3$ .

英文摘要:

We present the pion mass and decay constant using the overlap fermion valence on domain wall (DW) fermion sea at several lattice spacings. The mixed action effect in the lattice calculation is also studied, and the result suggests that the mixed action effect with the overlap valence on DW sea would be proportional to the fourth power of the lattice spacing. We obtain the pion decay constant at the physical pion mass and $N_f=2$ chiral limit to be $92.4(3)(2)~{\rm MeV}$ and $87.0(5)(7)~{\rm MeV}$ respectively; and the physical u/d averaged quark mass at $\overline{\textrm{MS}}$ 2 GeV is $3.74(4)(5)(5)(3)~{\rm MeV}$ with the linear ${\cal O}(a^2)$ continuum extrapolation. Using the FLAG value of the NLO low energy constant, we obtain the $N_f=2$ chiral condensate to be $Σ^{\overline{\textrm{MS}}(2~{\rm GeV})}=\big(266(2)(1)~{\rm MeV}\big)^3$.

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