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arXiv 1002.1582hep-lat
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具有扭曲质量的Wilson费米子

The epsilon regime with twisted mass Wilson fermions

O. Bar, S. Necco, A. Shindler

摘要:

本文研究了介子两点耦合子中的主导晶格间距效应。通过推广已经介绍的无扭曲威尔逊手征有效理论的程序,我们扩展了连续手征展开扭曲质量WChPT。我们定义不同的制度,这取决于夸克质量和晶格间距的相对功率计数。对于任意扭转角,我们显式计算了所谓GSM^* 区域中NLO处出现的主要O(a^2)修正。在无扭曲的WChPT,我们发现,在这种情况下,明确的手征对称性打破由于晶格文物的影响被强烈抑制。特别令人感兴趣的是最大扭曲的情况下,这对应于通常采用扭曲质量威尔逊费米子晶格模拟的设置。我们得到的公式可以匹配到格点数据,以提取物理低能耦合,并估计来自离散误差的系统不确定性。

英文摘要:

We investigate the leading lattice spacing effects in mesonic two-point correlators computed with twisted mass Wilson fermions in the epsilon-regime. By generalizing the procedure already introduced for the untwisted Wilson chiral effective theory, we extend the continuum chiral epsilon expansion to twisted mass WChPT. We define different regimes, depending on the relative power counting for the quark masses and the lattice spacing. We explicitly compute, for arbitrary twist angle, the leading O(a^2) corrections appearing at NLO in the so-called GSM^* regime. As in untwisted WChPT, we find that in this situation the impact of explicit chiral symmetry breaking due to lattice artefacts is strongly suppressed. Of particular interest is the case of maximal twist, which corresponds to the setup usually adopted in lattice simulations with twisted mass Wilson fermions. The formulae we obtain can be matched to lattice data to extract physical low energy couplings, and to estimate systematic uncertainties coming from discretization errors.

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