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General Relativity and Quantum Cosmology, gr-qc
Abstract:
We analyse the Noether charges for scalar and Maxwell fields on light cones
on a de Sitter, Minkowski, and anti-de Sitter backgrounds. Somewhat
surprisingly, under natural asymptotic conditions all charges for the Maxwell
fields on both the de Sitter and anti-de Sitter backgrounds are finite. On the
other hand, one needs to renormalise the charges for the conformally-covariant
scalar field when the cosmological constant does not vanish. In both cases
well-defined renormalised charges, with well-defined fluxes, are obtained.
Again surprisingly, a Hamiltonian analysis of a suitably rescaled scalar field
leads to finite charges, without the need to renormalise. Last but not least,
we indicate natural phase spaces where the Poisson algebra of charges is well
defined.
