Two Loop Computation of the Schroedinger Functional in Lattice QCD

Preprint

15 November 1999

preprint
Published by arXiv in arXiv

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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