Two-Loop Gap Equations for the Magnetic Mass

Abstract

One-loop gap equations have recently been used by several authors to estimate the non-perturbative mass gap in a 3-dimensional gauge theory. I extend the method to two loops and demonstrate, that the resulting gap equation has a real and positive solution $m\simeq 0.34g^2$, which is in good agreement with the one-loop results and lattice data.

Comments: 10 pages, 1 figure, LaTeX