Schwinger Model Green functions with topological effects

Abstract

The fermion propagator and the 4-fermion Green function in the massless QED2 are explicitly found with topological effects taken into account. The corrections due to instanton sectors k=+1,-1, contributing to the propagator, are shown to be just the homogenous terms admitted by the Dyson-Schwinger equation for S. In the case of the 4-fermion function also sectors k=+2,-2 are included into consideration. The quark condensates are then calculated and are shown to satisfy cluster property. The theta-dependence exhibited by the Green functions corresponds to and may be removed by performing certain chiral gauge transformation.

16 pages, in REVTEX

References in corpus (2)

• Some Lessons from the Schwinger Model
• Four-point Green functions in the Schwinger Model

Cited by in corpus (7)

• Instanton modifications of the bound state singularity in the Schwinger Model
• Propagators and topology
• Relative variables of the exact fermion-antifermion bound state wave-function in the Schwinger Model
• Schwinger-Dyson equations and disorder
• Instantons and the infrared behavior of the fermion propagator in the Schwinger Model
• Relative energy dependence of the Bethe-Salpeter amplitude in two-dimensional massless QED
• Lorentz contraction of the equal-time Bethe-Salpeter amplitude in two-dimensional massless quantum electrodynamics