Consistent Dirac bracket for dynamical systems with infinitely reducible second class constraints

Abstract

The standard Dirac bracket construction is generalized to the case of infinitely reducible second class constraints. Reducibility of constraints is shown to manifest itself in weakening the Jacobi identity for the construction, that now holds on the second class constraint surface only. The proposed scheme is realized for N = 1 superparticle model in ten dimensions.

Original language	English
Pages (from-to)	141-145
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	386
Issue number	1-4
DOIs	https://doi.org/10.1016/0370-2693(96)00905-7
Publication status	Published - 3 Oct 1996

Keywords

Covariant quantization
Dirac bracket
Mixed constraints
Superparticle

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/0370-2693(96)00905-7

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title = "Consistent Dirac bracket for dynamical systems with infinitely reducible second class constraints",

abstract = "The standard Dirac bracket construction is generalized to the case of infinitely reducible second class constraints. Reducibility of constraints is shown to manifest itself in weakening the Jacobi identity for the construction, that now holds on the second class constraint surface only. The proposed scheme is realized for N = 1 superparticle model in ten dimensions.",

keywords = "Covariant quantization, Dirac bracket, Mixed constraints, Superparticle",

author = "Deriglazov, {A. A.} and Galajinsky, {A. V.} and Lyakhovich, {S. L.}",

year = "1996",

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doi = "10.1016/0370-2693(96)00905-7",

language = "English",

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issn = "0370-2693",

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AU - Deriglazov, A. A.

AU - Galajinsky, A. V.

AU - Lyakhovich, S. L.

PY - 1996/10/3

Y1 - 1996/10/3

N2 - The standard Dirac bracket construction is generalized to the case of infinitely reducible second class constraints. Reducibility of constraints is shown to manifest itself in weakening the Jacobi identity for the construction, that now holds on the second class constraint surface only. The proposed scheme is realized for N = 1 superparticle model in ten dimensions.

AB - The standard Dirac bracket construction is generalized to the case of infinitely reducible second class constraints. Reducibility of constraints is shown to manifest itself in weakening the Jacobi identity for the construction, that now holds on the second class constraint surface only. The proposed scheme is realized for N = 1 superparticle model in ten dimensions.

KW - Covariant quantization

KW - Dirac bracket

KW - Mixed constraints

KW - Superparticle

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