Instantons and the infrared behavior of the fermion propagator in the Schwinger Model

Abstract

Fermion propagator of the Schwinger Model is revisited from the point of view of its infrared behavior. The values of anomalous dimensions are found in arbitrary covariant gauge and in all contributing instanton sectors. In the case of a gauge invariant, but path dependent propagator, the exponential dependence, instead of power law one, is established for the special case when the path is a straight line. The leading behavior is almost identical in any sector, differing only by the slowly varying, algebraic prefactors. The other kind of the gauge invariant function, which is the amplitude of the dressed Dirac fermions, may be reduced, by the appropriate choice of the dressing, to the gauge variant one, if Landau gauge is imposed.

arXiv comment9 pages, in REVTEX

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Cited by in corpus (2)

• Four-fermion deformations of the massless Schwinger model and confinement
• Bosonization in the path integral formulation