Estimate of the Relation Between Scale Parameters and the String Tension by Strong Coupling Methods

摘要

We estimate the relation between the scale parameter lambda sub(L) and the string tension alpha in pure SU(3) gauge theory using strong coupling expansions for Euclidean lattice gauge theory up to 12th order. The result is lambda sub(L) = 3.7 x 10 exp -3 sqrt alpha . For the more conventional scale parameter lambda sup(MOM) = .31 sqrt alpha by use of the proportionality factor of Hasenfratz. Results for the string tension of Z sub 3 lattice gauge theory are also discussed. (Atomindex citation 11:555782)