Quantization of dynamical systems with reducible constraints and the superparticle
- Physics Department, Kaiserslautern University, Postfach 3049, 6750 Kaiserslautern (Germany) Istanbul University, Faculty of Science, Physics Department, Vezneciler, 34459 Istanbul (Turkey)
Batalin-Fradkin-Vilkovisky--Becchi-Rouet-Stora-Tyutin quantization of dynamical systems, with irreducible first- and reducible second-class constraints satisfying some conditions, is performed by converting the second-class constraints into effective first-class ones. But restricting the phase space in an unusual way is necessary. A path integral is proposed by imposing some new second-class constraints to keep the original ones converted into effective first-class constraints. The new second-class constraints are reducible and the reducibility conditions include the new reducible first-class ones. The general definition of reducibility and the method of quantization are presented. In the light of these, a new set of covariant constraints for the massless Casalbuoni-Brink-Schwarz superparticle in 10 dimensions is proposed. Although the first- and second-class constraints of the new set are separated, they are infinitely reducible. Quantization of this dynamical system in a unitary gauge is given.
- OSTI ID:
- 5310647
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 44:4; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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CONSTRAINTS
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GAUGE INVARIANCE
HAMILTONIANS
MASSLESS PARTICLES
PHASE SPACE
STRING MODELS
SUPERSYMMETRY
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
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