Dynamics of gauge systems and Dirac’s conjecture

M. E. V. Costa, H. O. Girotti, and T. J. M. Simes
Phys. Rev. D 32, 405 – Published 15 July 1985
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Abstract

For systems possessing only first-class constraints, we rigorously prove that the secondary constraints act as independent generators of gauge transformations (Dirac’s conjecture). The proof essentially consists in demonstrating that the total and the extended Hamiltonian generate the same time evolution for the canonical realization, f(q,p), of the gauge-invariant quantities. We also discuss the alternative realization of these quantities.

  • Received 28 December 1984

DOI:https://doi.org/10.1103/PhysRevD.32.405

©1985 American Physical Society

Authors & Affiliations

M. E. V. Costa, H. O. Girotti, and T. J. M. Simes

  • Instituto de Física, Universidade Federal do Rio Grande do Sul, 90000 Porto Alegre, RS, Brasil

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Vol. 32, Iss. 2 — 15 July 1985

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