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Hamiltonian formulation of the gauge theory of gravitation. Pure-gravity case

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Il Nuovo Cimento B (1971-1996)

Summary

The gauge theory of gravitation invariant underO 5 and the general co-ordinate transformations is formulated by using Dirac’s Hamiltonian formalism. The tetrad field is introduced as a connection of theO 5 gauge group. By fixing the boost part of this gauge freedom, the spin connection is eliminated by using second-class constraints. As a result the system is described by the tetrad field with a set of first-class constraints associated to the local Lorentz and the general co-ordinate transformations.

Riassunto

La teoria di gauge della gravitazione invariante inO 5 e nelle trasformazioni generali di coordinate è formulata usando il formalismo hamiltoniano di Dirac. Il campo tetradico è introdotto come una connessione del gruppo di gaugeO 5. Fissando la parte di propulsione di questa libertà di gauge, la connessione di spin è eliminata usando vincoli di seconda classe. Come risultato il sistema è descritto dal campo tetradico con un gruppo di vincoli di prima classe associato alle trasformazioni locali di Lorentz e generali delle coordinate.

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Authors and Affiliations

  1. Department of Physics, Osaka University, Toyonaka, 560, Osaka, Japan

    T. Fukuyama & K. Kamimura

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Italia

    K. Kamimura

Authors
  1. T. Fukuyama
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  2. K. Kamimura
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Additional information

Address after April, Department of Physics, Toho University, 2-1-1 Miyama, Funabashi, Chiba, Japan 274.

Traduzione a cura della Redazione.

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Fukuyama, T., Kamimura, K. Hamiltonian formulation of the gauge theory of gravitation. Pure-gravity case. Nuov Cim B 74, 93–111 (1983). https://doi.org/10.1007/BF02721688

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  • DOI: https://doi.org/10.1007/BF02721688

PACS.04.20

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