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arXiv 0803.2772hep-lat
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用猝灭格点量子色动力学检验手征有效理论

Testing chiral effective theory with quenched lattice QCD

L. Giusti, P. Hernandez, S. Necco, C. Pena, J. Wennekers, H. Wittig

摘要:

本文研究了在猝灭格点量子色动力学中用Neuberger-Dirac算符计算的左手流的两点关联函数。我们考虑两种晶格间距a~ 0.09,0.12 fm和两种不同的晶格范围L~ 1.5,2.0 fm;夸克质量跨越p和ε两个区域。我们将结果与猝灭手征微扰理论的预言进行了比较,目的是检验有效理论在多大程度上再现了低能猝灭QCD。在p-制度,我们测试的赝标衰变常数和质量的体积和夸克质量的依赖性;在ε-制度,我们调查的体积和拓扑结构的依赖性的双折射。虽然有效理论预测的领先秩序的行为是很好地再现了晶格数据的参数范围内,我们探讨,我们的数值数据是不够精确,以测试次领先秩序的影响。

英文摘要:

We investigate two-point correlation functions of left-handed currents computed in quenched lattice QCD with the Neuberger-Dirac operator. We consider two lattice spacings a~0.09,0.12 fm and two different lattice extents L~ 1.5, 2.0 fm; quark masses span both the p- and the epsilon-regimes. We compare the results with the predictions of quenched chiral perturbation theory, with the purpose of testing to what extent the effective theory reproduces quenched QCD at low energy. In the p-regime we test volume and quark mass dependence of the pseudoscalar decay constant and mass; in the epsilon-regime, we investigate volume and topology dependence of the correlators. While the leading order behaviour predicted by the effective theory is very well reproduced by the lattice data in the range of parameters that we explored, our numerical data are not precise enough to test next-to-leading order effects.

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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