A perturbative determination of O($a$) boundary improvement coefficients for the Schrödinger Functional coupling at 1-loop with improved gauge actions

Details A perturbative determination of O($a$) boundary improvement coefficients for the Schrödinger Functional coupling at 1-loop with improved gauge actions A perturbative determination of O($a$) boundary improvement coefficients for the Schrödinger Functional coupling at 1-loop with improved gauge actions

2003-09-25

arxiv.org/abs/hep-lat/0309160v1

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2003(improve), 3 pages

Scientific paper

We perturbatively determine O($a$) boundary improvement coefficients at 1-loop for the Schr\"odinger Functional coupling with improved gauge actions. These coefficients are required to implement the 1-loop O($a$) improvement in full QCD simulations for the coupling with the improved gauge actions. To this order, lattice artifacts of the step scaling function (SSF) for each improved gauge action are also investigated. Furthermore, we investigate the effect of the 1-loop O($a$) improvement to the SSF in numerical simulations of the pure SU(3) gauge theory.

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