Solving the Effective Field Equations for the Newtonian Potential

Details Solving the Effective Field Equations for the Newtonian Potential Solving the Effective Field Equations for the Newtonian Potential

2010-07-15

arxiv.org/abs/1007.2662v1

Class.Quant.Grav.27:245008,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, uses LaTeX2e

Scientific paper

10.1088/0264-9381/27/24/245008

Loop corrections to the gravitational potential are usually inferred from scattering amplitudes, which seems quite different from how the linearized Einstein equations are solved with a static, point mass to give the classical potential. In this study we show how the Schwinger-Keldysh effective field equations can be used to compute loop corrections to the potential in a way which parallels the classical treatment. We derive explicit results for the one loop correction from the graviton self-energy induced by a massless, minimally coupled scalar.

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