Two Loop Computation of a Running Coupling in Lattice Yang-Mills Theory

Abstract

We compute the two loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schroedinger functional for the case of pure SU(2) gauge theory. This result is needed as one computational component to relate the latter to the MSbar-coupling, and it allows us to implement O(a) improvement of the Schroedinger functional to two-loop order. In addition, the two-loop beta-function is verified in a perturbative computation on the lattice, and the behavior of an improved bare coupling is investigated beyond one loop.

26 pages, uuencoded compressed tar file, new: acknowledgement added

References in corpus (2)

• Universality and the approach to the continuum limit in lattice gauge theory
• Two-loop relation between the bare lattice coupling and the MSbar coupling in pure SU(N) gauge theories

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