Casimir Scaling in SU(2) Lattice Gauge Theory

Abstract

By employing the multilevel algorithm in numerical Monte Carlo simulations, we evaluate the static potential in four dimensional SU(2) lattice gauge theory with no dynamical fermions, for static sources in the j=1/2,1,3/2 representations. We find data supporting the Casimir scaling hypothesis. With the same technique we show that the ratio of the logarithm of Wilson loops in the j=2 and j=1/2 representations, as a function of the area of the loops, also satisfies Casimir scaling.

Comments: 10 pages, 3 figures. Published version with connection to k-string studies and references added