A perturbative determination of O(a) boundary improvement coefficients for the Schr\"odinger Functional coupling at 1-loop with improved gauge actions

Kiyotomo Ide; Shinji Takeda; Sinya Aoki

arxiv: hep-lat/0304013 · v1 · submitted 2003-04-21 · ✦ hep-lat

A perturbative determination of O(a) boundary improvement coefficients for the Schr\"odinger Functional coupling at 1-loop with improved gauge actions

Shinji Takeda , Sinya Aoki , Kiyotomo Ide This is my paper

classification ✦ hep-lat

keywords gaugeimprovedactionscoefficientscouplingimprovementloopaction

0 comments

read the original abstract

We determine O($a$) boundary improvement coefficients up to 1-loop level for the Schr\"odinger Functional coupling with improved gauge actions including plaquette and rectangle loops. These coefficients are required to implement 1-loop O($a$) improvement in full QCD simulations for the coupling with the improved gauge actions. To this order, lattice artifacts of step scaling function for each improved gauge action are also investigated. In addition, passing through the SF scheme, we estimate the ratio of $\Lambda$-parameters between the improved gauge actions and the plaquette action more accurately.

This paper has not been read by Pith yet.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Precision renormalisation and improvement of $N_{\rm f}=3$ lattice QCD with Wilson fermions
hep-lat 2026-06 unverdicted novelty 6.0

New non-perturbative renormalization and improvement results for currents and masses in Nf=3 O(a)-improved Wilson QCD at small a using Schrödinger functional boundary conditions and gradient flow tuning.