Two-Loop Gap Equations for the Magnetic Mass

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, 1 figure, LaTeX

Scientific paper

10.1016/S0370-2693(98)01004-1

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 $m \simeq 0.34 g^2$, which is in good agreement with the
one-loop results and lattice data.

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