Dirac quantization in superspace

Journal Article · Thu May 15 00:00:00 EDT 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.2863· OSTI ID:5714068

Barcelos-Neto, J; Das, A

We extend the method of Dirac quantization to superspace. We study simple models like the supersymmetric quantum mechanics as well as the supersymmetric nonlinear sigma model in 1+1 dimensions. Although in both these cases the matrix representing the Poisson brackets between the constraints is singular, we show, following the spirit of Dirac, that one can still define Dirac brackets and that the resulting quantization is consistent with those of the component fields.

• Research Organization: Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
• DOE Contract Number: AC02-76ER13065
• OSTI ID: 5714068
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIAN FUNCTION
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
MECHANICS
PARTICLE MODELS
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM MECHANICS
SECOND QUANTIZATION
SIGMA MODEL
SUPERSYMMETRY
SYMMETRY