Scalar Contribution to the Graviton Self-Energy during Inflation

Details Scalar Contribution to the Graviton Self-Energy during Inflation Scalar Contribution to the Graviton Self-Energy during Inflation

2011-01-30

arxiv.org/abs/1101.5804v1

Phys.Rev.D83:084049,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

54pages

Scientific paper

10.1103/PhysRevD.83.084049

We use dimensional regularization to evaluate the one loop contribution to the graviton self-energy from a massless, minimally coupled scalar on a locally de Sitter background. For noncoincident points our result agrees with the stress tensor correlators obtained recently by Perez-Nadal, Roura and Verdaguer. We absorb the ultraviolet divergences using the $R^2$ and $C^2$ counterterms first derived by 't Hooft and Veltman, and we take the $D=4$ limit of the finite remainder. The renormalized result is expressed as the sum of two transverse, 4th order differential operators acting on nonlocal, de Sitter invariant structure functions. In this form it can be used to quantum-correct the linearized Einstein equations so that one can study how the inflationary production of infrared scalars affects the propagation of dynamical gravitons and the force of gravity.

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