Two-loop computation of a finite volume running coupling on the lattice
High Energy Physics - Lattice
2009-10-22 v2
Abstract
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.
Cite
@article{arxiv.hep-lat/9411018,
title = {Two-loop computation of a finite volume running coupling on the lattice},
author = {Ulli Wolff},
journal= {arXiv preprint arXiv:hep-lat/9411018},
year = {2009}
}
Comments
3 pages, latex, no figures, needs espcrc2.sty, contribution LAT94 equ. (8) had missed the term + m_1^2 on the r.h.s