Two loop expansion of the Schroedinger functional coupling alpha_SF in SU(3) lattice gauge theory

Abstract

The two loop coefficient of the expansion of the Schroedinger functional coupling in terms of the lattice coupling is calculated for the SU(3) Yang-Mills theory. This coefficient is required to relate lattice data to the MS-bar-coupling. As a byproduct of the calculation, the Schroedinger functional is improved to two loop order and the three loop coefficient of the beta function in the SF-scheme is derived.

Comments: 3 pages, 1 figures (postscript), uses epsf.sty, Contribution to Lattice 97, email achim@linde.physik.hu-berlin.de