Confinement and a dual structure in the generalized chiral Schwinger model
We solve a generalization of the chiral Schwinger model with a Wess-Zumino term in a covariant operator formalism. The model is essentially specified by two parameters (sigma,a), where sigma measures the relative strength of the right- and left-handed gauge couplings (e/sub R/ and e/sub L/) while a parametrizes the anomaly ambiguity. The fermion operator is constructed from the asymptotic boson fields in bosonized versions of the model. The model yields a sensible quantum theory in some restricted domain of sigma and a. The gauge symmetry restored by the inclusion of the Wess-Zumino term gets spontaneously broken and the gauge field becomes massive. The fermion is confined as long as e/sub R/e/sub L/not =0. The model has a dual structure such that the model specified by (sigma,a) is equivalent to the model specified by another set (sigma' = -sigma, a' = a+2 sin2sigma). This duality, in particular, reveals the equivalence of the Schwinger model and (a gauge-invariant version of) the axial Schwinger model.
- Research Organization:
- Department of Engineering Science, Tohoku University, Sendai 980, Japan
- OSTI ID:
- 5375570
- Journal Information:
- Phys. Rev. D; (United States), Vol. 37:8
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
QUANTUM ELECTRODYNAMICS
CHIRAL SYMMETRY
DUALITY
BOSON EXPANSION
FERMIONS
GAUGE INVARIANCE
MASS
SYMMETRY BREAKING
ELECTRODYNAMICS
FIELD THEORIES
INVARIANCE PRINCIPLES
QUANTUM FIELD THEORY
SYMMETRY
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