How Inflationary Gravitons Affect the Force of Gravity

Abstract

We employ an unregulated computation the graviton self-energy from gravitons on de Sitter background to infer the renormalized result. This is used to quantum-correct the linearized Einstein equation. We solve this equation for the potentials which represent the gravitational response to static, point mass. We find large spatial and temporal logarithmic corrections to the Newtonian potential and to the gravitational shift. Although suppressed by a minuscule loop-counting parameter, these corrections cause perturbation theory to break down at large distances and late times. Another interesting fact is that gravitons induce up to three large logarithms whereas a loop of massless, minimally coupled scalars produces only a single large logarithm. This is in line with corrections to the graviton mode function: a loop of gravitons induces two large logarithms whereas a scalar loop gives none.

arXiv comment38 pages, 1 figure, 15 tables, uses LaTeX2e. arXiv admin note: text overlap with arXiv:2107.13905 Version 2 slightly revised for publication

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Cited by in corpus (9)

• Remembrance of Things Past
• Summing Gravitational Effects from Loops of Inflationary Scalars
• Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
• Unfinished Business in A Nonlinear Sigma Model on de Sitter Background
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• Gauge Independent Logarithms from Inflationary Gravitons
• Big Steve and the State of the Universe
• Large Inflationary Logarithms in a Nontrivial Nonlinear Sigma Model
• The Third Structure Function