Two Loop Computation of the Schroedinger Functional in Lattice QCD

Preprint

28 May 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/9911018

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

SCHROEDINGER FUNCTIONAL
PERTURBATION THEORY
SYSTEMATIC ERRORS
LOOP COMPUTATION
LATTICE QCD
TWO LOOP
QCD

All Related Versions

Version 1, 1999-11-15, ArXiv
Version 2, 2001-01-26, ArXiv
Version 3, 2001-05-28, ArXiv
Published version: Nuclear Physics B, 576 (1-3), 517.

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