Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge

Abstract

We evaluate the one-graviton loop contribution to the vacuum polarization on de Sitter background in a 1-parameter family of exact, de Sitter invariant gauges. Our result is computed using dimensional regularization and fully renormalized with BPHZ counterterms, which must include a noninvariant owing to the time-ordered interactions. Because the graviton propagator engenders a physical breaking of de Sitter invariance two structure functions are needed to express the result. In addition to its relevance for the gauge issue this is the first time a covariant gauge graviton propagator has been used to compute a noncoincident loop. A number of identities are derived which should facilitate further graviton loop computations.

61 pages, 1 figure, 11 tables, version 2 (63 pages) revised for publication in CQG

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• Deducing Cosmological Observables from the S-matrix
• de Sitter Space is Unstable in Quantum Gravity
• One loop graviton corrections to dynamical photons in de Sitter
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
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• The Graviton Tail almost Completely Wags the Dog
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• How Inflationary Gravitons Affect Gravitational Radiation
• Graviton Propagator in a 2-Parameter Family of de Sitter Breaking Gauges
• Summing Gravitational Effects from Loops of Inflationary Scalars
• Graviton Self-Energy from Gravitons in Cosmology
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• Even the photon propagator must break de Sitter symmetry
• Photon propagator in de Sitter space in the general covariant gauge
• Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
• Gauge Independent Quantum Gravitational Corrections to Maxwell's Equation
• One loop corrected conformally coupled scalar mode equations during inflation
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• Gauge Independent Logarithms from Inflationary Gravitons
• Photon propagator for inflation in the general covariant gauge
• Photon quantization in cosmological spaces
• Causality Implies Inflationary Back-Reaction
• Some Inconvenient Truths
• Perturbative Quantum Gravity Induced Scalar Coupling to Electromagnetism