Poisson bracket algebra for chiral group elements in the WZNW model
- Syracuse Univ., NY (United States). Dept. of Physics
- Inst. of Theoretical Physics, S-41296, Goteborg (Sweden)
- Dipt. di Scienze Fisiche dell' Univ. di Napoli, Mostra d'Oltremare pad. 19, 80125 Napoli (Italy)
In this paper, the authors examine the Wess-Zumino-Novikov-Witten (WZNW) model on a circle and compute the Poisson bracket algebra for left- and right-moving chiral group elements. The authors' computations apply for arbitrary groups and arbitrary boundary conditions, the latter being characterized by the monodromy matrix. Unlike previous treatments, the Poisson brackets do not require specifying a particular parametrization of the group valued fields in terms of angles spanning the group. The authors do however find it necessary to make a gauge choice, as the chiral group elements are not gauge invariant observables. (On the other hand, the quadratic form of the Poisson brackets may be defined independently of a gauge fixing.) Gauge invariant observables can be formed from the monodromy matrix and these observbles are seen to commute in the quantum theory.
- OSTI ID:
- 7158929
- Journal Information:
- International Journal of Modern Physics A; (United States), Vol. 7:24; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
CHIRAL SYMMETRY
ALGEBRA
FIELD THEORIES
BOUNDARY CONDITIONS
GAUGE INVARIANCE
MATRIX ELEMENTS
POISSON EQUATION
QUANTUM FIELD THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
INVARIANCE PRINCIPLES
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)