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

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.

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

References in corpus (3)

• Precision computation of a low-energy reference scale in quenched lattice QCD
• Advanced Lattice QCD
• Non-perturbative renormalization of QCD

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