Computation of the Running Coupling in the SU(2) Yang-Mills Theory
High Energy Physics - Lattice
2016-08-14 v1
Abstract
A finite-size scaling technique is applied to the SU(2) gauge theory (without matter fields) to compute a non-perturbatively defined running coupling alpha(q) for a range of momenta q given in units of the string tension K. We find that already at rather low q, the evolution of alpha(q) is well described by the 2-loop approximation to the Callan-Symanzik beta-function. At the highest momentum reached, q=20 sqrt(K), we obtain alpha_MSbar(q)=0.187 +/- 0.005 +/- 0.009 for the running coupling in the MSbar scheme of dimensional regularization.
Keywords
Cite
@article{arxiv.hep-lat/9207010,
title = {Computation of the Running Coupling in the SU(2) Yang-Mills Theory},
author = {Martin Lüscher and Peter Weisz and Rainer Sommer and Ulli Wolff},
journal= {arXiv preprint arXiv:hep-lat/9207010},
year = {2016}
}
Comments
23 pages, 4 ps figures