Computation of the Running Coupling in the SU(2) Yang-Mills Theory

Preprint

9 July 1992

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/9207010

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

SCALING TECHNIQUE
RUNNING COUPLING
MILLS THEORY
FINITE SIZE
YANG MILLS
EVOLUTION
TENSION
THEORY

All Related Versions

Version 1, 1992-07-09, ArXiv
Published version: Nuclear Physics B, 389 (1), 247.

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