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

A. A. Deriglazov, A. V. Galajinsky, S. L. Lyakhovich

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 languageEnglish
Pages (from-to)141-145
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume386
Issue number1-4
DOIs
Publication statusPublished - 3 Oct 1996

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Keywords

  • Covariant quantization
  • Dirac bracket
  • Mixed constraints
  • Superparticle

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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