Quantization of dynamical systems with reducible constraints and the superparticle

Journal Article · Thu Aug 15 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.1239· OSTI ID:5310647

Dayi, O F ^[1]

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1. 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), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
CONSTRAINTS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTICLE MODELS
PHASE SPACE
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
SPACE
STRING MODELS
SUPERSYMMETRY
SYMMETRY