Two-Loop Computation of the Schroedinger Functional in Pure SU(3) Lattice Gauge Theory

Preprint

25 September 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/9809175

Abstract

We compute the Schroedinger functional (SF) for the case of pure SU(3) gauge theory 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, we can now implement two-loop O(a) improvement in simulations and extend and study series in alternative ("tadpole-improved") bare couplings.

Keywords

SCHROEDINGER FUNCTIONAL
PERTURBATION THEORY
SYSTEMATIC ERRORS
LOOP COMPUTATION
LATTICE GAUGE
TWO LOOP
PURE SU

All Related Versions

Version 1, 1998-09-25, ArXiv
Published version: Nuclear Physics B, 540 (1-2), 491.

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