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.

10 pages, 1 figure, LaTeX

References in corpus (3)

• Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses
• Seeking an Even-Parity Mass Term for 3-D Gauge Theory
• On One-Loop Gap Equations for the Magnetic Mass in d=3 Gauge Theory

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