Adiabatic regularization of the graviton stress-energy tensor in de Sitter space-time

Abstract

We study the renormalized energy-momentum tensor of gravitons in a de Sitter space-time. After canonically quantizing only the physical degrees of freedom, we adopt the standard adiabatic subtraction used for massless minimally coupled scalar fields as a regularization procedure and find that the energy density of gravitons in the E(3) invariant vacuum is proportional to H^4, where H is the Hubble parameter, but with a positive sign. According to this result the scalar expansion rate, which is gauge invariant in de Sitter space-time, is increased by the fluctuations. This implies that gravitons may then add to conformally coupled matter in driving the Starobinsky model of inflation.

arXiv comment5 pages, revtex, final version accepted for publication in PRD

References in corpus (7)

• The Energy-Momentum Tensor for Cosmological Perturbations
• Massless Minimally Coupled Fields in De Sitter Space: O(4)-Symmetric States Versus De Sitter Invariant Vacuum
• Attractor states and infrared scaling in de Sitter space
• Energy-Momentum Tensor of Cosmological Fluctuations during Inflation
• Energy density and pressure of long wavelength gravitational waves
• Energy-Momentum Tensor of Field Fluctuations in Massive Chaotic Inflation
• CBR Temperature Fluctuations Induced by Gravitational Waves in a Spatially-Closed Inflationary Universe

Cited by in corpus (39)

• One-loop f(R) gravity in de Sitter universe
• Stochastic Quantum Gravitational Inflation
• The Fermion Self-Energy during Inflation
• Reply to `Can infrared gravitons screen $\Lambda$?'
• Quantum corrections to the inflaton potential and the power spectra from superhorizon modes and trace anomalies
• Long-wavelength metric backreactions in slow-roll inflation
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• Perturbative Quantum Gravity Comes of Age
• Dimensionally Regulated Graviton 1-Point Function in de Sitter
• Scalar Field Equations from Quantum Gravity during Inflation
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• Scalar field instability in de Sitter space-time
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• The Effective Theory of Inflation in the Standard Model of the Universe and the CMB+LSS data analysis
• A Simplified Quantum Gravitational Model of Inflation
• Fermion Propagator in Cosmological Spaces with Constant Deceleration
• One-loop Modified Gravity in de Sitter Universe, Quantum Corrected Inflation, and its Confrontation with the Planck Result
• A Measure of Cosmological Acceleration
• A Phenomenological Model for the Early Universe
• Back-Reaction of Super-Hubble Cosmological Perturbations Beyond Perturbation Theory
• Backreaction during inflation: a physical gauge invariant formulation
• Vacuum polarization by a cosmic string in de Sitter spacetime
• Quantum Back-Reaction in Scale Invariant Induced Gravity Inflation
• Constructing Infrared Finite Propagators in Inflating Space-time
• Secular effects on inflation from one-loop quantum gravity
• The Impact of Ultraviolet Regularization on the Spectrum of Curvature Perturbations During Inflation
• Energy-momentum tensor and helicity for gauge fields coupled to a pseudo-scalar inflaton
• Fermionic vacuum densities in higher-dimensional de Sitter spacetime
• Effect of the Trace Anomaly on the Cosmological Constant
• Quantum Spacetime Instability and Breakdown of Semiclassical Gravity
• Quantum gravity in Heisenberg representation and self-consistent theory of gravitons in macroscopic spacetime
• The graviton one-loop effective action in cosmological space-times with constant deceleration
• Instability of De Sitter Spacetime induced by Quantum Conformal Anomaly
• Gauge invariant backreaction in general single field models of inflation
• Tensor Mode Backreaction During Slow-roll Inflation
• Graviton one-loop effective action and inflationary dynamics
• Dark Energy and Inflation from Gravitational Waves
• Vacuum effects induced by a plate in de Sitter spacetime in the presence of a cosmic string
• Fermionic Casimir effect in de Sitter spacetime