Pure Wess-Zumino actions in 1 + 1 dimensional nonlinear. sigma. -models

Journal Article · Sat Jan 20 00:00:00 EST 1990 · International Journal of Modern Physics A; (USA)

DOI:https://doi.org/10.1142/S0217751X90000192· OSTI ID:6587263

Stern, A ^[1]

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1. Dept. of Physics and Astronomy, Univ. of Alabama, Tuscaloosa, AL (US)

The authors examine the Hamiltonian formulation for a 1 + 1 dimensional nonlinear {sigma}-model where the action is given solely by a Wess-Zumino term. The theory corresponds to the Wess-Zumino-Witten model where the standard nonlinear chiral model action is absent. The authors find that the Poisson bracket algebra for the currents corresponds to a Kac-Moody algebra. The system, however, contains second class constraints which the authors eliminate via the construction of Dirac brackets. The Kac-Moody algebra is then not realized by the Dirac brackets. Instead, new (nonlocal) terms appear in the algebra of the conserved currents which appear to obstruct quantization.

• OSTI ID: 6587263
• Journal Information: International Journal of Modern Physics A; (USA), Vol. 5:2; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHIRAL SYMMETRY
NONLINEAR PROBLEMS
SIGMA MODEL
DIRAC EQUATION
FIELD ALGEBRA
HAMILTONIANS
ONE-DIMENSIONAL CALCULATIONS
POISSON RATIO
QUANTIZATION
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICAL PROPERTIES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTUM OPERATORS
SYMMETRY
WAVE EQUATIONS
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