Generating functional Z0 for the one-wormhole sector

Details Generating functional Z0 for the one-wormhole sector Generating functional Z0 for the one-wormhole sector

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982phrvd..26.3396h&link_type=abstract

Physical Review D (Particles and Fields), Volume 26, Issue 12, 15 December 1982, pp.3396-3411

Physics

5

Scientific paper

We proceed in constructing a quantum theory of wormholes by adapting the method of Gervais, Jevicki, and Sakita. We calculate the transition amplitude for one-wormhole processes and separate the motion of the wormhole in the tree approximation: it is the motion of a free relativistic particle with the mass mG, the classical mass of the wormhole. The quantum corrections can be calculated from the generating functional Z for the Green's functions. We derive a formula for the zero approximation Z0 to this functional, find a suitable gauge which simplifies the formula, and show that this gauge is compatible with our boundary conditions. The problem of zero modes is solved and a regular propagator is shown to exist. Finally, we estimate the cross section for the capture of photons and gravitons by a wormhole and find that it increases with energy reaching the value (4m)2 asymptotically.

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