✦ LIBER ✦

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

✍ Scribed by Shinji Takeda; Sinya Aoki; Kiyotomo Ide

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 275 KB
Volume: 129-130
Category: Article
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(03)02597-0

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✦ Synopsis

We perturbatively determine O(a) boundary improvement coefficients at l-loop for the Schri5dinger Functional coupling with improved gauge actions. These coefficients are required to implement the l-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 l-loop O(a) improvement to the SSF in numerical simulations of the pure SU(3) gauge theory.