On Quantum-Geometric Connections and Propagators in Curved Spacetime

Preprint

4 October 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9510007

Abstract

The basic properties of Poincare gauge invariant Hilbert bundles over Lorentzian manifolds are derived. Quantum connections are introduced in such bundles, which govern a parallel transport that is shown to satisfy the strong equivalence principle in the quantum regime. Path-integral expressions are presented for boson propagators in Hilbert bundles over globally hyperbolic curved spacetimes. Their Poincare gauge covariance is proven, and their special relativistic limit is examined. A method for explicitly computing such propagators is presented for the case of cosmological models with Robertson-Walker metric.

Keywords

GEOMETRIC CONNECTIONS
QUANTUM GEOMETRIC
CURVED SPACETIMES
BASIC PROPERTIES
HILBERT BUNDLES
POINCARE GAUGE
PROPAGATORS
SPACETIMES

All Related Versions

Version 1, 1995-10-04, ArXiv
Published version: Classical and Quantum Gravity, 13 (5), 1007.

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