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Canonical formalism of gauge theories with reducible constraints

  • Physics of Elementary Particles and Field Theory
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Abstract

A procedure for the canonical quantization of gauge theories with reducible constraints (that is, linearly dependent) is proposed. The procedure consists of extending the initial phase space and filling out the initial system of constraints to an aggregate of linearly indepndent constraints. The equivalence is shown between the proposed quantization scheme and canonical quantization when only the linearly independent constraints are chosen from the initial system of constraints.

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Authors and Affiliations

  1. Lenin Komsomol Tomsk Pedagogical Institute, USSR

    P. M. Lavrov & I. V. Tyutin

Authors
  1. P. M. Lavrov
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  2. I. V. Tyutin
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Additional information

Translated from Izvestiya Vysshikh.Uchebnykh Zavedenii, Fizika, No. 7, pp. 64–68, July, 1985.

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Lavrov, P.M., Tyutin, I.V. Canonical formalism of gauge theories with reducible constraints. Soviet Physics Journal 28, 576–579 (1985). https://doi.org/10.1007/BF00896188

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  • DOI: https://doi.org/10.1007/BF00896188

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