Regular Article - Theoretical Physics
Instantons and the infrared behavior of the fermion propagator in the Schwinger model
Department of Mathematical Methods in Physics, Warsaw University, Hoża 74, 00-682, Warsaw, Poland
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Revised: 29 March 2008
Published online: 15 May 2008
The fermion propagator of the Schwinger model is revisited from the point of view of its infrared behavior. The values of the 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 a 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 gauge invariant function, which is the amplitude of the dressed Dirac fermions, may be reduced, by an appropriate choice of the dressing, to the gauge variant one, if the Landau gauge is imposed.
© Springer-Verlag , 2008