Two loop computation of the Schrodinger functional in pure SU(3) lattice gauge theory

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.

Note:

submitted to Nucl. Phys. B, 11 pages, LaTex Report-no: HUB-EP-98-54, MIP-PhT/98-70

11.10.Gh
11.15.Ha
12.38.Gc
Running coupling
Lattice QCD
Schrödinger functional
gauge field theory: SU(3)
lattice field theory: Lambda parameter
perturbation theory: higher-order
higher-order: 2

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