Quantum gravitational corrections to the propagator in spacetimes with constant curvature

Details Quantum gravitational corrections to the propagator in spacetimes with constant curvature Quantum gravitational corrections to the propagator in spacetimes with constant curvature

2010-02-05

arxiv.org/abs/1002.1132v1

Physics

High Energy Physics

High Energy Physics - Theory

3 Pages, To appear in the proceedings of the 12th Marcel Grossman Meeting

Scientific paper

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.

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