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Hilbert space of wormholes

AuthorsGaray, Luis Javier
Issue Date1993
PublisherAmerican Physical Society
CitationPhysical Review D - Particles, Fields, Gravitation and Cosmology 48: 1710- 1721 (1993)
AbstractWormhole boundary conditions for the Wheeler-DeWitt equation can be derived from the path integral formulation. It is proposed that the wormhole wave function must be square integrable in the maximal analytic extension of minisuperspace. Quantum wormholes can be invested with a Hilbert-space structure, the inner product being naturally induced by the minisuperspace metric, in which the Wheeler-DeWitt operator is essentially self-adjoint. This provides us with a kind of probabilistic interpretation. In particular, giant wormholes will give extremely small contributions to any wormhole state. We also study the whole spectrum of the Wheeler-DeWitt operator and its role in the calculation of Green's functions and effective low-energy interactions. © 1993 The American Physical Society.
Identifiersdoi: 10.1103/PhysRevD.48.1710
issn: 0556-2821
Appears in Collections:(CFMAC-IO) Artículos
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