A graviton propagator for inflation

Abstract

We construct the scalar and graviton propagator in quasi de Sitter space up to first order in the slow roll parameter $\epsilon \equiv -\dot{H}/H^2$. After a rescaling, the propagators are similar to those in de Sitter space with an $\epsilon$ correction to the effective mass. The limit $\epsilon \to 0$ corresponds to the E(3) vacuum that breaks de Sitter symmetry, but does not break spatial isotropy and homogeneity. The new propagators allow for a self-consistent, dynamical study of quantum back-reaction effects during inflation.

23 pages

References in corpus (34)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Quantum Contributions to Cosmological Correlations
• Quantum effects can render w<-1 on cosmological scales
• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• Lecture Notes on General Relativity
• The Energy-Momentum Tensor for Cosmological Perturbations
• The Quantum Gravitational Back-Reaction On Inflation
• Quantum Gravity Slows Inflation
• Stochastic Inflationary Scalar Electrodynamics
• Two Loop Scalar Self-Mass during Inflation
• Photon mass from inflation
• One Loop Vaccum Polarization in a Locally de Sitter Background
• Initial Conditions for Inflation
• The Fermion Self-Energy during Inflation
• Interacting Quantum Field Theory in de Sitter Vacua
• The covariant graviton propagator in de Sitter spacetime
• On the consistency of de Sitter vacua
• Natural Magnetogenesis from Inflation
• de Sitter Vacua, Renormalization and Locality
• A Leading Logarithm Approximation for Inflationary Quantum Field Theory
• No One Loop Back_Reaction In Chaotic Inflation
• Two Loop Scalar Bilinears for Inflationary SQED
• A note on alpha-vacua and interacting field theory in de Sitter space
• Dynamics of super-horizon photons during inflation with vacuum polarization
• Vacuum polarization and photon mass in inflation
• Quantum radiative corrections to slow-roll inflation
• Dimensionally Regulated Graviton 1-Point Function in de Sitter
• Perturbative Quantum Gravity And Newton's Law On A Flat Robertson-Walker Background
• Back-Reaction Is For Real
• On leading order gravitational backreactions in de Sitter spacetime
• Perturbative Instabilities on the Non-Commutative Torus, Morita Duality and Twisted Boundary Conditions
• Accelerated sources in de Sitter spacetime and the insufficiency of retarded fields
• Fields of accelerated sources: Born in de Sitter
• Vacuum properties of nonsymmetric gravity in de Sitter space

Cited by in corpus (20)

• Infrared Propagator Corrections for Constant Deceleration
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• A Completely Regular Quantum Stress Tensor with $w<-1$
• The Perils of Analytic Continuation
• A Simplified Quantum Gravitational Model of Inflation
• Fermion Propagator in Cosmological Spaces with Constant Deceleration
• Decoherence in an Interacting Quantum Field Theory: The Vacuum Case
• Late-time backreaction from inflationary fluctuations of a non-minimally coupled massless scalar
• Quantum backreaction in evolving FLRW spacetimes
• The Weyl tensor correlator in cosmological spacetimes
• Regulating the infrared by mode matching: A massless scalar in expanding spaces with constant deceleration
• Compactly supported linearised observables in single-field inflation
• Quantum Spacetime Instability and Breakdown of Semiclassical Gravity
• Instability of De Sitter Spacetime induced by Quantum Conformal Anomaly
• The graviton one-loop effective action in cosmological space-times with constant deceleration
• Graviton one-loop effective action and inflationary dynamics
• Approaches to linear local gauge-invariant observables in inflationary cosmologies
• Stochastic inflation from quantum field theory and the parametric dependence of the effective noise amplitude
• Non-commutative Geometry from Perturbative Quantum Gravity in de Sitter spacetime
• Photon propagator for inflation in the general covariant gauge