Discussing the U(1)-Problem of QED2without Instantons
Copyright policy )Discussing the U(1)-Problem of QED2without Instantons
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.
Accepted for publication in Annals of Physics
- Max Planck Society Germany
- Max Planck Institute for Physics Germany
- University of Graz Austria
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences
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