Symplectic structures in the chirally gauged Wess-Zumino-Witten model

Journal Article · Sat Feb 15 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.1276· OSTI ID:7235329

Inamoto, T ^[1]

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1. Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113 (Japan)

The algebraic structure of the chirally gauged Wess-Zumino-Witten model is studied from the Hamiltonian point of view. The consistent chiral anomaly, which is reproduced at the tree level in this model, is related to the Schwinger term of the Gauss-law algebra through descent equations constructed with phase-space differential forms. The descent equations express the effects of the consistent anomaly upon the symplectic structure of the theory, and provide the Hamiltonian analogue of the Wess-Zumino consistency condition in the Weyl gauge. We also clarify the canonical structure of the ungauged Wess-Zumino-Witten model, and the algebra associated with the global Noether symmetry is derived.

• OSTI ID: 7235329
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON-EXCHANGE MODELS
CHARGED PARTICLES
CHIRALITY
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
PHASE SPACE
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SIGMA MODEL
SP GROUPS
SPACE
SYMMETRY GROUPS
WARD IDENTITY
YANG-MILLS THEORY