Discussing the U(1)-Problem of QED_2 without Instantons

Details Discussing the U(1)-Problem of QED_2 without Instantons Discussing the U(1)-Problem of QED_2 without Instantons

1996-02-06

arxiv.org/abs/hep-th/9602027v1

Annals Phys. 250 (1996) 389-419

Physics

High Energy Physics

High Energy Physics - Theory

Accepted for publication in Annals of Physics

Scientific paper

10.1006/aphy.1996.0098

We construct QED_2 with mass and flavor and an extra Thirring term. The vacuum expectation values are carefully decomposed into clustering states using the U(1)-axial symmetry of the considered operators and a limiting procedure. The properties of the emerging expectation functional are compared to the proposed theta-vacuum of QCD. The massive theory is bosonized to a generalized Sine-Gordon model (GSG). The structure of the vacuum of QED_2 manifests itself in symmetry properties of the GSG. We study the U(1)-problem and derive a Witten-Veneziano-type formula for the masses of the pseudoscalars determined from a semiclassical approximation.

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