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

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

1997-10-10

arxiv.org/abs/hep-lat/9710043v1

Nucl.Phys.Proc.Suppl. 63 (1998) 796-798

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/S0920-5632(97)00903-1

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.

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