Quantum corrections to the gravitational potentials of a point source due to conformal fields in de Sitter

Abstract

We derive the leading quantum corrections to the gravitational potentials in a de Sitter background, due to the vacuum polarization from loops of conformal fields. Our results are valid for arbitrary conformal theories, even strongly interacting ones, and are expressed using the coefficients $b$ and $b^{\prime }$ appearing in the trace anomaly. Apart from the de Sitter generalization of the known flat-space results, we find two additional contributions: one which depends on the finite coefficients of terms quadratic in the curvature appearing in the renormalized effective action, and one which grows logarithmically with physical distance. While the first contribution corresponds to a rescaling of the effective mass, the second contribution leads to a slower fall-off of the Newton potential at large distances, and is potentially measurable.

30 pages, reference added, sign error corrected, misprints in abstract and discussion corrected, matches published version (up to the corrections)

References in corpus (11)

• De Sitter Space and Eternity
• Cosmological expansion and local physics
• Second-order Gauge Invariant Cosmological Perturbation Theory: -- Einstein equations in terms of gauge invariant variables --
• On Resumming Inflationary Perturbations beyond One-loop
• On the proper treatment of massless fields in Euclidean de Sitter space
• One-loop gravitational wave spectrum in de Sitter spacetime
• Cosmological perturbations on local systems
• Quantum Scalar Corrections to the Gravitational Potentials on de Sitter Background
• Solving the Effective Field Equations for the Newtonian Potential
• One-loop quantum electrodynamic correction to the gravitational potentials on de Sitter spacetime
• Renormalizing an initial state

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• The Graviton Tail almost Completely Wags the Dog
• One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance
• Quantum gravitational corrections for spinning particles
• Quantum corrections for spinning particles in de Sitter
• Quantum time delay in the gravitational field of a rotating mass
• Structure Formation in Nonlocal MOND
• Massless minimal quantum scalar field with an asymmetric self interaction in de Sitter spacetime
• One loop corrected conformally coupled scalar mode equations during inflation
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams
• Secular growths and their relation to equilibrium states in perturbative QFT