The Schwinger model on the Torus

Details The Schwinger model on the Torus The Schwinger model on the Torus

1996-08-15

arxiv.org/abs/hep-th/9608103v1

Fortsch.Phys. 45 (1997) 589-626

Physics

High Energy Physics

High Energy Physics - Theory

Latex file: 40 pages

Scientific paper

The classical and quantum aspects of the Schwinger model on the torus are considered. First we find explicitly all zero modes of the Dirac operator in the topological sectors with nontrivial Chern index and is spectrum. In the second part we determine the regularized effective action and discuss the propagators related to it. Finally we calculate the gauge invariant averages of the fermion bilinears and correlation functions of currents and densities. We show that in the infinite volume limit the well-known result for the chiral condensate can be obtained and the clustering property can be established.

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