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arXiv 0710.0583hep-lat
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四味交错夸克的SF运行耦合

The SF running coupling with four flavours of staggered quarks

P. Perez-Rubio, S. Sint

摘要:

为了研究四味QCD中的运行耦合,我们回顾了具有交错夸克的薛定谔泛函(SF)的建立。交错夸克需要这样的晶格,在通常的计数中,它具有偶数的空间晶格范围$L/a$,而时间范围$T/a$必须是奇数。因此,设置$T=L$只能达到${\rm O}(a)$,这在纯规范理论中已经引入了不同的截止效应。我们重新定义SF,以应付这种情况,并确定相应的经典背景场。微扰计算给出了纯规范${\rm O}(a)$边界反项对单圈阶的系数。

英文摘要:

In order to study the running coupling in four-flavour QCD, we review the set-up of the Schrödinger functional (SF) with staggered quarks. Staggered quarks require lattices which, in the usual counting, have even spatial lattice extent $L/a$ while the time extent $T/a$ must be odd. Setting $T=L$ is therefore only possible up to ${\rm O}(a)$, which introduces different cutoff effects already in the pure gauge theory. We re-define the SF such as to cope with this situation and determine the corresponding classical background field. A perturbative calculation yields the coefficient of the pure gauge ${\rm O}(a)$ boundary counterterm to one-loop order.

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