Schwinger Model Green functions with topological effects
High Energy Physics - Theory
2009-10-31 v1
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.
Cite
@article{arxiv.hep-th/9811206,
title = {Schwinger Model Green functions with topological effects},
author = {Tomasz Radozycki},
journal= {arXiv preprint arXiv:hep-th/9811206},
year = {2009}
}
Comments
16 pages, in REVTEX