Scalar contribution to the graviton self-energy during inflation

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.084049· OSTI ID:21541515

Park, Sohyun; Woodard, R P ^[1]

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1. Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)

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{sup 2} and C{sup 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, fourth 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.

• OSTI ID: 21541515
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DE SITTER SPACE
EINSTEIN FIELD EQUATIONS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
GRAVITATION
GRAVITATIONAL RADIATION
GRAVITONS
MASSLESS PARTICLES
MATHEMATICAL SPACE
POSTULATED PARTICLES
RADIATIONS
SELF-ENERGY
SPACE
STRUCTURE FUNCTIONS
ULTRAVIOLET DIVERGENCES