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Quantum gravitational corrections to the propagator in spacetimes with constant curvature
S. Shankaranarayanan, ,
Published in World Scientific Publishing Co. Pte Ltd
2012
Pages: 2426 - 2428
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. Copyright © 2012 by World Scientific Publishing Co. Pte. Ltd.
About the journal
Journal12th Marcel Grossmann Meeting on Recent Dev. in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proc. of the MG 2009 Meeting on General Relativity
PublisherWorld Scientific Publishing Co. Pte Ltd