Quantum fields in anti-de Sitter wormholes

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We study the effects of asymptotically anti-de Sitter wormholes in low-energy field theory and give a general prescription for obtaining the local effective interaction terms induced by them. The choice of vacuum for the matter fields selects a basis of the Hilbert space of anti-de Sitter wormholes whose elements can be interpreted as states containing a given number of particles. This interpretation is subject to the same kind of ambiguity in the definition of a particle as that arising from quantum field theory in curved spacetime.
© 1998 The American Physical Society. We are very grateful to G.A. Mena Marugán, M. Moles and P.F. González-Díaz for helpful discussions and suggestions. C.B. was supported by a Spanish Ministry of Education and Culture (MEC) grant. C.B. is also grateful to J.B. Hartle and the Institute for Theoretical Physics (UCSB), where part of this work was done, for warm hospitality. This research was supported in part by the National Science Foundation under Grant No. PHY994–07194. L.J.G. was supported by funds provided by DGICYT and MEC (Spain) under Contract Adjunct to Project No. PB94–0107.
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