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Schwinger Model Green functions with topological effects

Tomasz Radozycki
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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.

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Tomasz Radozycki. 1998-11-24. Schwinger Model Green functions with topological effects. https://doi.org/10.1103/physrevd.60.105027

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