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arXiv 0811.0572hep-lat
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在微扰理论的树水平上对扭曲质量、重叠和Creutz费米子截止效应的比较

A comparison of the cut-off effects for Twisted Mass, Overlap and Creutz fermions at tree-level of Perturbation Theory

Krzysztof Cichy, Jenifer Gonzalez Lopez, Agnieszka Kujawa

摘要:

本文研究了三种不同晶格正则化费米子--最大扭曲质量Wilson、重叠和Creutz费米子在微扰理论的树水平上的截止效应。我们表明,所有三种费米子表现出预期的$O(a^2)$标度行为的晶格间距。此外,对于所考虑的量,即赝标量关联函数$C_{PS}$、质量$m_{PS}$和衰减常数$f_{PS}$,这些截止效应的大小对于所有这些量都是可比较的。

英文摘要:

In this paper we investigate the cutoff effects at tree-level of perturbation theory for three different lattice regularizations of fermions -- maximally twisted mass Wilson, overlap and Creutz fermions. We show that all three kinds of fermions exhibit the expected $O(a^2)$ scaling behaviour in the lattice spacing. Moreover, the size of these cutoff effects for the considered quantities i.e. the pseudoscalar correlation function $C_{PS}$, the mass $m_{PS}$ and the decay constant $f_{PS}$ is comparable for all of them.

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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