Generalized two-dimensional chiral QED: Anomaly and exotic statistics
Fuad M. Saradzhev · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1997
We study the influence of the anomaly on the physical quantum picture of the generalized chiral Schwinger model defined on ${S}^{1}$. 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 Poincar\'e generators and show that it differs from the Poincar\'e one. We exhibit the role of the vacuum Berry phase in the failure of the Poincar\'e 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.