Two Loop Computation of the Schroedinger Functional in Lattice QCD

Achim Bode; Peter Weisz; Ulli Wolff

doi:10.1016/s0550-3213(00)00187-5

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arXiv · hep-lat/9911018

Two Loop Computation of the Schroedinger Functional in Lattice QCD

Achim Bode·Peter Weisz·Ulli Wolff

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Abstract

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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Achim Bode, Peter Weisz, Ulli Wolff. 2001-05-28. Two Loop Computation of the Schroedinger Functional in Lattice QCD. https://doi.org/10.1016/s0550-3213(00)00187-5

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