Two Loop Computation of the Schroedinger Functional in Lattice QCD

Details Two Loop Computation of the Schroedinger Functional in Lattice QCD Two Loop Computation of the Schroedinger Functional in Lattice QCD

1999-11-15

arxiv.org/abs/hep-lat/9911018v3

Nucl.Phys.B576:517-539,2000; Erratum-ibid.B600:453,2001; Erratum-ibid.B608:481,2001

Physics

High Energy Physics

High Energy Physics - Lattice

30 pages, numerical changes in eqs.(A.9), (A.10), (5.6), (5.9), (5.12) due to the revision of hep-lat/9801007v2 (Christou et a

Scientific paper

10.1016/S0550-3213(00)00187-5

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.

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