Wormhole effective interactions in anti-de Sitter spacetime

Details Wormhole effective interactions in anti-de Sitter spacetime Wormhole effective interactions in anti-de Sitter spacetime

1998-03-10

arxiv.org/abs/gr-qc/9803035v1

Int.J.Mod.Phys. D7 (1998) 623-645

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, LaTeX 2e, no figures

Scientific paper

10.1142/S0218271898000425

The effects of asymptotically anti-de Sitter wormholes in low-energy field theory are calculated in full detail for three different matter contents: a conformal scalar field, an electromagnetic field and gravitons. There exists a close relation between the choice of vacuum for the matter fields and the selection of a basis of the Hilbert space of anti-de Sitter wormholes. In the presence of conformal matter (i.e., conformal scalar or electromagnetic fields), this relation allows us to interpret the elements of these bases as wormhole states containing a given number of particles. This interpretation is subject to the same kind of ambiguity in the definition of particle as that arising from quantum field theory in curved spacetime. In the case of gravitons, owing to the non-conformal coupling, it is not possible to describe wormhole states in terms of their particle content.

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