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00925njm 22002777a 4500 dc Garay Elizondo, Luis Javier author 1991-08-15 The quantum state of a wormhole can be represented by a path integral over all asymptotically Euclidean four-geometries and all matter fields which have prescribed values, the arguments of the wave function, on a three-surface S which divides the spacetime manifold into two disconnected parts. The ground-state wave function is picked out by requiring that there be no matter excitations in the asymptotic region. Once the path integrals over the lapse and shift functions are evaluated, the requirement that the spacetime be asymptotically Euclidean can be accomplished by fixing the asymptotic gravitational momentum in the remaining path integral. It is claimed that no wave function exists which corresponds to asymptotic field configurations such that the effective gravitational constant is negative in the asymptotic region. The wormhole wave functions are worked out in minisuperspace models with massless minimal and conformal scalar fields. 0556-2821 10.1103/PhysRevD.44.1059 https://hdl.handle.net/20.500.14352/59561 http://dx.doi.org/10.1103/PhysRevD.44.1059 http://journals.aps.org Quantum state of wormholes and path integral