Generalised chiral QED2 : Anomaly and Exotic Statistics

Details Generalised chiral QED2 : Anomaly and Exotic Statistics Generalised chiral QED2 : Anomaly and Exotic Statistics

1997-05-23

arxiv.org/abs/hep-th/9705178v1

Phys.Rev. D56 (1997) 1055-1072

Physics

High Energy Physics

High Energy Physics - Theory

LATEX file, 36 pp., to appear in Phys.Rev. D

Scientific paper

10.1103/PhysRevD.56.1055

We study the influence of the anomaly on the physical quantum picture of the generalized chiral Schwinger model defined on the circle. We show that the anomaly i) results in the background linearly rising electric field and ii) makes the spectrum of the physical Hamiltonian nonrelativistic without a massive boson. The physical matter fields acquire exotic statistics . We construct explicitly the algebra of the Poincare generators and show that it differs from the Poincare one. We exhibit the role of the vacuum Berry phase in the failure of the Poincare algebra to close. We prove that, in spite of the background electric field, such phenomenon as the total screening of external charges characteristic for the standard Schwinger model takes place in the generalized chiral Schwinger model, too.

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