非简并夸克质量左流关联函数的有限尺寸标度
Finite-size scaling for the left-current correlator with non-degenerate quark masses
摘要：
本文研究了在手征展开下，非简并夸克质量为次领先阶的左流关联函数的体积依赖性。我们考虑了三种可能的区域：所有夸克质量都在$ε$ -区域，所有夸克质量都在$p$ -区域和混合区域，其中最轻的夸克质量满足$m_v ΣV \leq 1$，而较重的夸克质量满足$m_s ΣV \gg 1$。这些结果可用于匹配格点量子色动力学和手征有效理论在一个大而有限的盒子中，其中最轻的π介子的康普顿波长是盒子尺寸的数量级。我们考虑了完全猝灭和部分猝灭的结果。
英文摘要：
We study the volume dependence of the left-current correlator with non-degenerate quark masses to next-to-leading order in the chiral expansion. We consider three possible regimes: all quark masses are in the $ε$-regime, all are in the $p$-regime and a mixed-regime where the lighest quark masses satisfy $m_v ΣV \leq 1$ while the heavier $m_s ΣV \gg 1$. These results can be used to match lattice QCD and the Chiral Effective Theory in a large but finite box in which the Compton wavelength of the lightest pions is of the order of the box size. We consider both the full and partially-quenched results.
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