Hamiltonian formulation for a translation gauge theory of gravitation

Physics

Scientific paper

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Gauge Theory, Gravitation Theory, Hamiltonian Functions, Relativistic Theory, Cauchy Problem, Constraints, Field Theory (Physics)

Scientific paper

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 relativivty, because of the existence of the space-time translation group, which is a group of invariance of the theory. Propagation equations for the dynamical variables are also derived.

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