Quantum gravitational corrections to the propagator in spacetimes with constant curvature
Abstract
The existence of a minimal and fundamental length scale, say, the Planck length, is a characteristic feature of almost all the models of quantum gravity. The presence of the fundamental length is expected to lead to an improved ultra-violet behavior of the semi-classical propagators. The hypothesis of path integral duality provides a prescription to evaluate the modified propagator of a free, quantum scalar field in a given spacetime, taking into account the existence of the fundamental length in a locally Lorentz invariant manner. We use this prescription to compute the quantum gravitational modifications to the propagators in spacetimes with constant curvature, and show that: (i) the modified propagators are ultra-violet finite, and (ii) the modifications are non-perturbative in the Planck length. We discuss the implications of our results.
Keywords
Cite
@article{arxiv.1002.1132,
title = {Quantum gravitational corrections to the propagator in spacetimes with constant curvature},
author = {Dawood Kothawala and S. Shankaranarayanan and L. Sriramkumar},
journal= {arXiv preprint arXiv:1002.1132},
year = {2010}
}
Comments
3 Pages, To appear in the proceedings of the 12th Marcel Grossman Meeting