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arXiv 0812.2403hep-lat
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威尔逊费米子的量子态

The epsilon regime with Wilson fermions

Oliver Bar, Silvia Necco, Stefan Schaefer

摘要:

利用Wilson手征微扰理论(WChPT)研究了Wilson费米子的显式手征对称性破缺对介子在ε区的作用.我们推广的连续ChPT的非零晶格间距的各种夸克质量制度的ε膨胀。结果表明,对于典型的aLambda_QCD ^[2]级夸克质量,非零晶格间距引起的修正被高度抑制。晶格间距的影响变得更加明显,较小的夸克质量,并导致非平凡的连续ChPT的结果在下一个领先的顺序修正。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 study the impact of explicit chiral symmetry breaking of Wilson fermions on mesonic correlators in the epsilon-regime using Wilson chiral perturbation theory (WChPT). We generalize the epsilon-expansion of continuum ChPT to nonzero lattice spacings for various quark mass regimes. It turns out that the corrections due to a nonzero lattice spacing are highly suppressed for typical quark masses of the order aLambda_QCD^2. The lattice spacing effects become more pronounced for smaller quark masses and lead to non-trivial corrections of the continuum ChPT results at next-to-leading order. We compute these corrections for the standard current and density correlation functions. A fit to lattice data shows that these corrections are small, as expected.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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