On the U(1)-Problem of QED_2

Details On the U(1)-Problem of QED_2 On the U(1)-Problem of QED_2

1995-05-16

arxiv.org/abs/hep-th/9505092v1

Physics

High Energy Physics

High Energy Physics - Theory

Seminar talk given at the 1995 Schladming winter-school (to appear in the proceedings), 7 pages, Latex2e

Scientific paper

QED_2 with mass and flavor has in common many features with QCD, and thus is an interesting toy model relevant for four dimensional physics. The model is constructed using Euclidean path integrals and mass perturbation series. The vacuum functional is carefully decomposed into clustering states being the analogue of the theta-vacuum of QCD. Finally the clustering theory can be mapped onto a generalized Sine-Gordon model. Having at hand this bosonized version, several lessons on the theta-vacuum, the U(1)-problem and Witten-Veneziano-type formulas will be drawn. This sheds light on the corresponding structures of QCD.

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