Two-loop computation of a finite volume running coupling on the lattice

Details Two-loop computation of a finite volume running coupling on the lattice Two-loop computation of a finite volume running coupling on the lattice

1994-11-11

arxiv.org/abs/hep-lat/9411018v2

Nucl.Phys.Proc.Suppl. 42 (1995) 291-293

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, latex, no figures, needs espcrc2.sty, contribution LAT94 equ. (8) had missed the term + m_1^2 on the r.h.s

Scientific paper

10.1016/0920-5632(95)00230-7

In pure SU(2) gauge theory we compute the two-loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schroedinger functional. This result is required to relate the latter to the MSbar-coupling in our programme to compute alpha_s. In addition it allows us to implement O(a) improvement of the Schroedinger functional to two-loop order. The two-loop beta-function is verified in a perturbative computation on the lattice, and the behavior of expansions in the standard and in the Parisi-improved bare couplings are investigated beyond one loop.

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