Summary
Dirac’s Hamiltonian methods are applied to a gauge theory of the translation group formulated by Hayashi as a gravitational theory which stands on microscopical scale. Four constraint equations are obtained, as in general relativity, because of the existence of the spacetime translation group, which is a group of invariance of the theory. Propagation equations for the dynamical variables are also derived.
Riassunto
Si applicano metodi hamiltoniani di Dirac ad una teoria di gauge del gruppo di traslazione formulato da Hayashi come una teoria gravitazionale che è valida su scala microscopica. Si ottengono quattro equazioni di vincolo, come nella relatività generale, a causa dell’esistenza del gruppo di traslazione dello spazio-tempo, che è un gruppo d’invarianza della teoria. Si derivano anche equazioni di propagazione per le variabili dinamiche.
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de Azeredo Campos, R., Oliveira, C.G. Hamiltonian formulation for a translation gauge theory of gravitation. Nuov Cim B 74, 83–92 (1983). https://doi.org/10.1007/BF02721687
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DOI: https://doi.org/10.1007/BF02721687