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arXiv 0909.1489hep-lathep-phhep-th
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次领先阶的部分猝灭手征微扰理论

Partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order

Christoph Lehner, Tilo Wettig

摘要:

在不含单重态粒子的情况下,用超对称方法计算了次领先阶部分猝灭手征微扰理论的配分函数。我们包括一个非零的虚化学势,并表明,有限体积修正的低能常数$Σ$和$F$的部分淬火的配分函数,从而为光谱关联函数的狄拉克运营商,是相同的非淬火的配分函数。我们简要地评论了在QCD格点模拟中如何使这些修正最小化。作为一个侧面的结果,我们表明,零动量积分的制定没有单线态粒子同意与以前的结果从随机矩阵理论。

英文摘要:

We calculate the partition function of partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order using the supersymmetry method in the formulation without a singlet particle. We include a nonzero imaginary chemical potential and show that the finite-volume corrections to the low-energy constants $Σ$ and $F$ for the partially quenched partition function, and hence for spectral correlation functions of the Dirac operator, are the same as for the unquenched partition function. We briefly comment on how to minimize these corrections in lattice simulations of QCD. As a side result, we show that the zero-momentum integral in the formulation without a singlet particle agrees with previous results from random matrix theory.

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