Monte Carlo study of SU(3) gauge theory on a124lattice

Abstract

We calculate Wilson loops for pure SU(3) gauge theory on a ${12}^4$ lattice by Monte Carlo simulations. All the Wilson loops up to size 3×3, previously calculated on a $6^4$ lattice, are reproduced on the ${12}^4$ lattice. In addition we calculate all additional Wilson loops up to size 6×6. Using all of these Wilson loops, we estimate the asymptotic-freedom scale parameter ${\Lambda }_0$.