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arXiv 0910.2372hep-lat
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威尔逊费米子

Wilson fermions in the epsilon regime

Oliver Bar, Silvia Necco, Stefan Schaefer

备注：
Talk presented at the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Peking University, Beijing, China; 7 pages, 1 figure
发表信息：
PoS LAT2009:078,2009
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摘要：

在Wilson手征微扰理论的框架下，将连续谱手征微扰理论的ε展开推广到非零晶格间距。我们通过定义夸克质量m和晶格间距a的相对幂计数来区分不同的区域。我们观察到，对于m ~ a λ ^2_QCD，Wilson费米子中手征对称性的显式破缺仍然是由夸克质量驱动的，晶格修正被高度抑制。晶格间距的影响变得更加明显，较小的夸克质量，并可能导致非平凡的修正的连续结果在下一个领先的顺序。我们计算标准电流和密度关联函数的这些修正。与晶格数据的拟合表明，这些修正很小，正如预期的那样。

英文摘要：

We extend the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing in the framework of Wilson Chiral Perturbation Theory. We distinguish various regimes by defining the relative power counting of the quark mass m and the lattice spacing a. We observe that for m ~ a Lambda^2_QCD, the explicit breaking of chiral symmetry in Wilson fermions is still driven by the quark mass and lattice corrections are highly suppressed. The lattice spacing effects become more pronounced for smaller quark masses and may lead to non-trivial corrections of the continuum results at next-to-leading order. We compute these corrections for standard current and density correlation functions. A fit to lattice data shows that these corrections are small, as expected.

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