On Parallel Transport in Quantum Bundles over Robertson-Walker Spacetimes
General Relativity and Quantum Cosmology
2008-02-03 v2
Abstract
A recently-developed theory of quantum general relativity provides a propagator for free-falling particles in curved spacetimes. These propagators are constructed by parallel-transporting quantum states within a quantum bundle associated to the Poincare frame bundle. We consider such parallel transport in the case that the spacetime is a classical Robertson-Walker universe. An explicit integral formula is developed which expresses the propagators for parallel transport between any two points of such a spacetime. The integrals in this formula are evaluated in closed form for a particular spatially-flat model.
Keywords
Cite
@article{arxiv.gr-qc/9605067,
title = {On Parallel Transport in Quantum Bundles over Robertson-Walker Spacetimes},
author = {James Coleman},
journal= {arXiv preprint arXiv:gr-qc/9605067},
year = {2008}
}
Comments
Plain TeX, 17 pages. Updated version contains additional background material and a couple of minor corrections