I. Ichinose et al., OPERATOR SOLUTION OF THE SCHWINGER-THIRRING MODELS BY THE ABELIAN HIGGS-BOSON - GAUGED EXTENSION OF THE C=1 CFTS, Annals of physics, 237(2), 1995, pp. 205-225
Operator solution of the Schwinger-Thirring (ST) models on a cylinder
is given in terms of the Abelian Higgs (AH) model with topological ter
ms. Vacuum structure and a physical excitation of the ST model is exac
tly obtained. Vacua of the above two models are related with each ethe
r in quite a nontrivial way. It is shown that the effect of instantons
in the AH model corresponds to the fermion mass in the ST model. Topo
logical field theory limits are also discussed. (C) 1995 Academic Pres
s, Inc.