Journal
NUCLEAR PHYSICS B
Volume 576, Issue 1-3, Pages 517-539Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0550-3213(00)00187-5
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We compute the Schrodinger 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. (C) 2000 Elsevier Science B,V. All rights reserved.
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