Representations of spacetime diffeomorphisms. I. Canonical parametrized field theories

@inproceedings{Isham1985RepresentationsOS,
  title={Representations of spacetime diffeomorphisms. I. Canonical parametrized field theories},
  author={Christopher John Isham and Karel V. Kuchař},
  year={1985}
}
The super-Hamiltonian and supermomentum in canonical geometrodynamics or in a parametried field theory on a given Riemannian background have Poisson brackets which obey the Dirac relations. By smearing the supermomentum with vector fields V→∈ L Diff Σ on the space manifold Σ, the Lie algebra L Diff Σ of the spatial diffeomorphism group Diff Σ can be mapped antihomomorphically into the Poisson bracket algebra on the phase space of the system. The explicit dependence of the Poisson brackets… CONTINUE READING

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