One-loop quantum gravitational backreaction on the local Hubble rate
arXiv:1806.11124 · doi:10.1088/1361-6382/ab10fb
Abstract
We determine corrections to the Hubble rate due to graviton loops in a cosmological background spacetime of constant deceleration parameter. The corrections are gauge-invariant, based on a recent proposal for all-order gauge-invariant observables in perturbative quantum gravity. We find explicit expressions for the cases of matter- and radiation-dominated eras and slow-roll inflation with vanishing second slow-roll parameter. Interestingly, in the latter case the corrections can be described by a quantum-corrected first slow-roll parameter, which brings the spacetime closer to de Sitter space.
arXiv comment35 pages, includes comparison with other approaches, matches published version
References in corpus (53)
- Planck 2015 results. XIII. Cosmological parameters
- Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
- Formalising the Slow-Roll Approximation in Inflation
- Local BRST cohomology in gauge theories
- Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
- Dust as a Standard of Space and Time in Canonical Quantum Gravity
- BMS charge algebra
- New Symmetries of Massless QED
- Superrotation Charge and Supertranslation Hair on Black Holes
- On the Back Reaction Problem for Gravitational Perturbations
- Stochastic Quantum Gravitational Inflation
- Observables in effective gravity
- Conserved charges of the extended Bondi-Metzner-Sachs algebra
- Quantum fields in curved spacetime
- Back Reaction And Local Cosmological Expansion Rate
- Generation of fluctuations during inflation: comparison of stochastic and field-theoretic approaches
- Diffeomorphism-invariant observables and their nonlocal algebra
- Observables, gravitational dressing, and obstructions to locality and subsystems
- Gravitational Observables and Local Symmetries
- Higher-Dimensional Supertranslations and Weinberg's Soft Graviton Theorem
- Relational Observables in Gravity: a Review
- Back Reaction Of Perturbations In Two Scalar Field Inflationary Models
- BMS Supertranslations and Not So Soft Gravitons
- On "dynamical mass" generation in Euclidean de Sitter space
- Vacua of the gravitational field
- No One Loop Back_Reaction In Chaotic Inflation
- Charges from Dressed Matter: Construction
- Can infrared gravitons screen ?
- Construction of an asymptotic S matrix for perturbative quantum gravity
- Long-wavelength metric backreactions in slow-roll inflation
- One-loop gravitational wave spectrum in de Sitter spacetime
- Gauge invariant averages for the cosmological backreaction
- Dimensionally Regulated Graviton 1-Point Function in de Sitter
- One Loop Back Reaction On Chaotic Inflation
- Charges from Dressed Matter: Physics and Renormalisation
- One Loop Back Reaction On Power Law Inflation
- model in Euclidean de Sitter space: beyond the leading infrared approximation
- Perturbative Quantum Gravity And Newton's Law On A Flat Robertson-Walker Background
- Cosmological perturbation theory and quantum gravity
- Cosmological Backreaction for a Test Field Observer in a Chaotic Inflationary Model
- Local and gauge invariant observables in gravity
- Gauge invariant variables for cosmological perturbation theory using geometrical clocks
- Asymptotic structure of electrodynamics revisited
- The cosmological backreaction: gauge (in)dependence, observers and scalars
- Coarse-Grained Back Reaction in Single Scalar Field Driven Inflation
- Isotropic Observers and the Inflationary Backreaction Problem
- Compactly supported linearised observables in single-field inflation
- Invariant Measure of the One Loop Quantum Gravitational Back-Reaction on Inflation
- Pure Gravitational Back-Reaction Observables
- Gauge invariant canonical cosmological perturbation theory with geometrical clocks in extended phase space - a review and applications
- Large gauge transformation and little group for soft photons
- Gauge-invariant dressed fermion propagator in massless QED_3
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- Perturbative quantum evolution of the gravitational state and dressing in general backgrounds
- Non-commutative Geometry from Perturbative Quantum Gravity in de Sitter spacetime
- When tadpoles matter: One-loop corrections for spectator Higgs in inflation
- Graviton backreaction on the local cosmological expansion in slow-roll inflation
- Synchronous coordinates and gauge-invariant observables in cosmological spacetimes
- Photon propagator for inflation in the general covariant gauge