Abstract
We employ the graviton self-energy induced by a massless, minimally coupled (MMC) scalar on de Sitter background to compute the quantum corrections to the gravitational potentials of a static point particle with a mass $M$. The Schwinger-Keldysh formalism is used to derive real and causal effective field equations. When evaluated at the one-loop order, the gravitational potentials exhibit a secular decrease in the observed gravitational coupling $G$. This can also be interpreted as a (time dependent) anti-screening of the mass $M$.
Highlights
De Sitter space is of particular interest in cosmology as a paradigm for the background of primordial inflation
We employ the graviton self-energy induced by a massless, minimally coupled (MMC) scalar on de Sitter background to compute the quantum corrections to the gravitational potentials of a static point particle with a mass M
A generic prediction of inflation is that the quantum fluctuations of MMC scalars and gravitons are amplified and preserved to late times so that they seed large scale structure formation [26–33]
Summary
The point of this section is to present the Schwinger-Keldysh effective field equations which we will solve . We first set up the background geometry and define the graviton field as a perturbation around this background. We give the inout effective field equations derived in [55] and discuss how to solve them perturbatively. We explain why it is more appropriate to convert to in-in equations for cosmological backgrounds such as de Sitter, and we make the conversion
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