Foundational Problems in Quantum Gravity

Details Foundational Problems in Quantum Gravity Foundational Problems in Quantum Gravity

1999-02-13

arxiv.org/abs/gr-qc/9902042v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, plain Tex, contribution to the Italian XIII National Conference on General Relativity, Monopoli, September 1998

Scientific paper

Boundary conditions play a crucial role in the path-integral approach to quantum gravity and quantum cosmology, as well as in the current attempts to understand the one-loop semiclassical properties of quantum field theories. Within this framework, one is led to consider boundary conditions completely invariant under infinitesimal diffeomorphisms on metric perturbations. These are part of a general scheme, which can be developed for Maxwell theory, Yang-Mills Theory, Rarita-Schwinger fields and any other gauge theory. A general condition for strong ellipticity of the resulting field theory on manifolds with boundary is here proved, following recent work by the authors. The relevance for Euclidean quantum gravity is eventually discussed.

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