The SF running coupling with four flavours of staggered quarks

Details The SF running coupling with four flavours of staggered quarks The SF running coupling with four flavours of staggered quarks

2007-10-02

arxiv.org/abs/0710.0583v2

PoSLAT2007:249,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages,1 figure, talk presented at Lattice2007 (Renormalization). Compilation problems solved

Scientific paper

In order to study the running coupling in four-flavour QCD, we review the set-up of the Schr\"odinger 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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