Two Loop Computation of the Schroedinger Functional in Lattice QCD
High Energy Physics - Lattice
2008-11-26 v3
Abstract
We compute the Schroedinger functional (SF) for the case of lattice QCD with Wilson fermions (with and without SW improvement) at two-loop order in lattice perturbation theory. This allows us to extract the three-loop beta-function in the SF-scheme. These results are required to compute the running coupling, the Lambda-parameter and quark masses by finite size techniques with negligible systematic errors. In addition our results enable the implementation of two-loop O(a) improvement in SF-simulations.
Keywords
Cite
@article{arxiv.hep-lat/9911018,
title = {Two Loop Computation of the Schroedinger Functional in Lattice QCD},
author = {Achim Bode and Peter Weisz and Ulli Wolff},
journal= {arXiv preprint arXiv:hep-lat/9911018},
year = {2008}
}
Comments
30 pages, numerical changes in eqs.(A.9), (A.10), (5.6), (5.9), (5.12) due to the revision of hep-lat/9801007v2 (Christou et al.)