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arXiv 0802.3637hep-lat
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扭曲质量、重叠和Creutz费米子:微扰理论的树级截断效应

Twisted Mass, Overlap and Creutz Fermions: Cut-off Effects at Tree-level of Perturbation Theory

K. Cichy, J. Gonzalez Lopez, K. Jansen, A. Kujawa, A. Shindler

摘要:

本文研究了最大扭曲质量Wilson、重叠和最近提出的Creutz费米子在微扰理论树水平上的截止效应。我们证明了这三种格点费米子在格点间距上都具有O(a^2)标度行为。此外,这些截止效应的大小是可比的三种格费米子考虑这里。此外,我们分析的情况下,扭曲的质量费米子不完全是在最大扭曲和重叠费米子的研究相比,扭曲的质量费米子时,夸克质量不匹配。

英文摘要:

We study cutoff effects at tree-level of perturbation theory for maximally twisted mass Wilson, overlap and the recently proposed Creutz fermions. We demonstrate that all three kind of lattice fermions exhibit the expected O(a^2) scaling behaviour in the lattice spacing. In addition, the sizes of these cutoff effects are comparable for the three kinds of lattice fermions considered here. Furthermore, we analyze situations when twisted mass fermions are not exactly at maximal twist and when overlap fermions are studied in comparison to twisted mass fermions when the quark masses are not matched.

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