Abstract
Three-dimensional Yang-Mills theory is analyzed at finite temperature using perturbation theory. It is shown that all infrared divergences can be eliminated by introducing a self-consistent electric mass that is gauge invariant to all orders in perturbation theory. The dependence of the electric mass on temperature and coupling constant is non-analytic, and is shown to be calculable order by order in perturbation theory. Its behavior suggests the existence of a second-order phase transition by which the quark free energy becomes divergent, in agreement with Monte Carlo calculations. The magnetic mass and the lowest order correction to the spacelike string tension are computed. We argue that the Wilson string decouples at the critical point.
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