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arXiv 1207.0628hep-lat
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树能级Symanzik改进规范action下$N_f=2$最大扭曲质量费米子的坐标空间非微扰重整化

Non-perturbative renormalization in coordinate space for $N_f=2$ maximally twisted mass fermions with tree-level Symanzik improved gauge action

Krzysztof Cichy, Karl Jansen, Piotr Korcyl

摘要:

我们给出了在格点量子色动力学中应用坐标空间重整化方案提取味非单线态双线性夸克算符重整化常数的结果。该方法分析了欧几里德空间中关联函数的小距离行为,具有规范不变性、易于实现和计算成本相对较低等优点。X空间方案中的重整化常数可以通过4圈连续统微扰公式转换为MSbar方案。我们对树能级Symanzik改进规范作用量下$N_f=2$最大扭曲质量费米子的计算结果与RI-RNN方案的计算结果进行了比较,结果表明我们的计算结果与RI-RNN方案的计算结果完全一致.

英文摘要:

We present results of a lattice QCD application of a coordinate space renormalization scheme for the extraction of renormalization constants for flavour non-singlet bilinear quark operators. The method consists in the analysis of the small-distance behaviour of correlation functions in Euclidean space and has several theoretical and practical advantages, in particular: it is gauge invariant, easy to implement and has relatively low computational cost. The values of renormalization constants in the X-space scheme can be converted to the MSbar scheme via 4-loop continuum perturbative formulae. Our results for $N_f=2$ maximally twisted mass fermions with tree-level Symanzik improved gauge action are compared to the ones from the RI-MOM scheme and show full agreement with this method.

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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