Consistent quantization and symmetry structure of a non-Abelian chiral gauge theory
- Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3840 (US)
The SU({ital N}) chiral Schwinger model with a Wess-Zumino term is studied by use of non-Abelian bosonization, the Becchi-Rouet-Stora formalism, and a dual transformation, and it is confirmed that this model is a sensible quantum theory in a certain range of the anomaly parameter {ital a}. The SU({ital N}) gauge symmetry restored by the inclusion of the Wess-Zumino term gets spontaneously broken and the gauge field becomes massive. Left-handed fermions are found to be confined while right-handed fermions remain free and massless. For the specific value {ital a}=2, the symmetry of the model enlarges (to a U({ital N}){times}U({ital N}) Kac-Moody symmetry). It is shown by fermionization of the Wess-Zumino field that for {ital a}=2 this model is equivalent to massless two-dimensional QCD (QCD{sub 2}) in the sense that they share the same gauge field and the same left-handed fermions. A dual transformation is used to cast the model into an equivalent nonlinear system of scalar fields only, which reveals the particle spectrum of the model.
- OSTI ID:
- 5595592
- Journal Information:
- Physical Review (Section) D: Particles and Fields; (USA), Vol. 40:4; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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CONSERVATION LAWS
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