Bending of Light in Quantum Gravity

Abstract

We consider the scattering of lightlike matter in the presence of a heavy scalar object (such as the Sun or a Schwarzschild black hole). By treating general relativity as an effective field theory we directly compute the nonanalytic components of the one-loop gravitational amplitude for the scattering of massless scalars or photons from an external massive scalar field. These results allow a semiclassical computation of the bending angle for light rays grazing the Sun, including long-range $\hslash$ contributions. We discuss implications of this computation, in particular the violation of some classical formulations of the equivalence principle.

5 pages, 1 figure, v2: typos corrected, version to be published in PRL, v3: signs corrected

References in corpus (4)

• The Confrontation between General Relativity and Experiment
• Graviton Physics
• Graviton-Photon Scattering
• Spin Effects in Long Range Gravitational Scattering

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