Recent results in high temperature lattice gauge theories

Abstract

We review some analytic results on the deconfinement transition in pure lattice gauge theories. In particular we discuss the relationship between the deconfinement transition in the $(d+1)$-dimensional $SU(2)$ model and the magnetization transition in the $d$-dimensional Ising model. This analysis leads to a precise estimate of the deconfinement temperature which agrees well with that obtained with a Montecarlo simulation in the case in which the lattice has only one link in the compactified time direction.

Talk given at the Enrico Fermi International School, Varenna, June 1995, latex, 20 pages