Allorders wormhole vertex operators from the WheelerdeWitt equation
Abstract
We discuss the calculation of semiclassical wormhole vertex operators from wave functions which satisfy the WheelerdeWitt equation and momentum constraints, together with certain `wormhole boundary conditions'. We consider a massless minimally coupled scalar field, initially in the spherically symmetric `minisuperspace' approximation, and then in the `midisuperspace' approximation, where nonspherically symmetric perturbations are linearized about a spherically symmetric minisuperspace background. Our approach suggests that there are higher derivative corrections to the vertex operator from the nonspherically symmetric perturbations. This is compared directly with the approach based on complete wormhole solutions to the equations of motion where it has been claimed that the semiclassical vertex operator is exactly given by the lowest order term, to all orders in the size of the wormhole throat. Our results are also compared with the conformally coupled case.
 Publication:

arXiv eprints
 Pub Date:
 January 1992
 arXiv:
 arXiv:hepth/9201073
 Bibcode:
 1992hep.th....1073L
 Keywords:

 High Energy Physics  Theory
 EPrint:
 20 pages (Replaced with TeXable version.)