One-loop perturbative calculation of Wilson loops on finite lattices

Heller UM, Karsch F. One-loop perturbative calculation of Wilson loops on finite lattices. Nuclear Physics, B. 1985;251(2):254-278.We present the one-loop (order g 4) perfturbative calculation of the expectation values of Wilson loops and Polyakov lines on finite asymmetric lattices. Analytical as well as numerical results are given. We also give some applications of these results pertaining to the “ratio method”, the Coulomb potential on finite lattices, the internal energy of the gluon gas at high temperature and the order parameter of the finite temperature deconfinement transition