Time transients in the quantum corrected Newtonian potential induced by a massless nonminimally coupled scalar field

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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22 pages, 5 figures; detailed calculation of the graviton vacuum polarization moved to the new Appendix; matches published ver

Scientific paper

10.1103/PhysRevD.83.104039

We calculate the one loop graviton vacuum polarization induced by a massless, nonminimally coupled scalar field on Minkowski background. We make use of the Schwinger-Keldysh formalism, which allows us to study time dependent phenomena. As an application we compute the leading quantum correction to the Newtonian potential of a point particle. The novel aspect of the calculation is the use of the Schwinger-Keldysh formalism, within which we calculate the time transients induced by switching on of the graviton-scalar coupling.

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