Confinement and a dual structure in the generalized chiral Schwinger model

Journal Article · Fri Apr 15 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.2282· OSTI ID:5375570

Miyake, S; Shizuya, K

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), Journal Name: Phys. Rev. D; (United States) Vol. 37:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
CHIRAL SYMMETRY
DUALITY
ELECTRODYNAMICS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MASS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SYMMETRY
SYMMETRY BREAKING