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

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

1998-09-25

arxiv.org/abs/hep-lat/9809175v1

Nucl.Phys. B540 (1999) 491-499

Physics

High Energy Physics

High Energy Physics - Lattice

submitted to Nucl. Phys. B, 11 pages, LaTex

Scientific paper

10.1016/S0550-3213(98)00772-X

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.

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