One Loop Graviton Self-Energy In A Locally De Sitter Background

Abstract

The graviton tadpole has recently been computed at two loops in a locally de Sitter background. We apply intermediate results of this work to exhibit the graviton self-energy at one loop. This quantity is interesting both to check the accuracy of the first calculation and to understand the relaxation effect it reveals. In the former context we show that the self-energy obeys the appropriate Ward identity. We also show that its flat space limit agrees with the flat space result obtained by Capper in what should be the same gauge.

35 pages, plain TeX, 4 Postscript files, uses psfig.sty, revised June 1996 for publication in Physical Review D

Cited by in corpus (93)

• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• Stochastic Quantum Gravitational Inflation
• Trans-Planckian Issues for Inflationary Cosmology
• Lecture notes on interacting quantum fields in de Sitter space
• One Loop Vaccum Polarization in a Locally de Sitter Background
• The Fermion Self-Energy during Inflation
• Loop Corrections to Standard Model Fields in Inflation
• Reply to `Can infrared gravitons screen $\Lambda$?'
• Gravitons Enhance Fermions during Inflation
• Infrared Propagator Corrections for Constant Deceleration
• Nonperturbative resummation of de Sitter infrared logarithms in the large-N limit
• A Leading Logarithm Approximation for Inflationary Quantum Field Theory
• How Far Are We from the Quantum Theory of Gravity?
• De Sitter Breaking through Infrared Divergences
• Induced quantum metric fluctuations and the validity of semiclassical gravity
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• Stress Tensor Correlators in the Schwinger-Keldysh Formalism
• Perturbative Quantum Gravity Comes of Age
• The Zeta-Zeta Correlator Is Time Dependent
• Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
• Characters of different secular effects in various patches of de Sitter space
• Renormalization group flow and symmetry restoration in de Sitter space
• Dimensionally Regulated Graviton 1-Point Function in de Sitter
• Interacting Field Theories in de Sitter Space are Non-Unitary
• Scalar Field Equations from Quantum Gravity during Inflation
• A Simple Operator Check of the Effective Fermion Mode Function during Inflation
• One Loop Corrected Mode Functions for SQED during Inflation
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• The Perils of Analytic Continuation
• Excitation of Photons by Inflationary Gravitons
• Graviton Corrections to Vacuum Polarization during Inflation
• Nonlocal Cosmology II --- Cosmic acceleration without fine tuning or dark energy
• Cosmological significance of one-loop effective gravity
• Transforming to Lorentz Gauge on de Sitter
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• Graviton Propagator in a General Invariant Gauge on de Sitter
• A Simplified Quantum Gravitational Model of Inflation
• Stability of de Sitter spacetime against infrared quantum scalar field fluctuations
• Fermion Propagator in Cosmological Spaces with Constant Deceleration
• Real or Imaginary? (On pair creation in de Sitter space)
• Scalar Contribution to the Graviton Self-Energy during Inflation
• Classical radiation by free-falling charges in de Sitter spacetime
• Gauging away Physics
• Weyl-Weyl Correlator in de Donder Gauge on de Sitter
• Issues Concerning Loop Corrections to the Primordial Power Spectra
• Infra-red effects of Non-linear sigma model in de Sitter space
• Linearized Weyl-Weyl Correlator in a de Sitter Breaking Gauge
• Cosmology is not a Renormalization Group Flow
• Cosmological Backreaction for a Test Field Observer in a Chaotic Inflationary Model
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• Summing Inflationary Logarithms in Nonlinear Sigma Models
• Backreaction of superhorizon scalar field fluctuations on a de Sitter geometry : a renormalisation group perspective
• The Coincidence Limit of the Graviton Propagator in de Donder Gauge on de Sitter Background
• The Hubble Effective Potential
• Nonperturbative infrared enhancement of nonGaussian correlators in de Sitter space
• Inflationary Scalars Don't Affect Gravitons at One Loop
• Solving the Effective Field Equations for the Newtonian Potential
• IR Divergences in Inflation and Entropy Perturbations
• Covariant Vacuum Polarizations on de Sitter Background
• Large Logarithms from Quantum Gravitational Corrections to a Massless, Minimally Coupled Scalar on de Sitter
• A Caveat on Building Nonlocal Models of Cosmology
• Hartree Approximation to the One Loop Quantum Gravitational Correction to the Graviton Mode Function on de Sitter
• Deducing Cosmological Observables from the S-matrix
• de Sitter Space is Unstable in Quantum Gravity
• One Loop Field Strengths of Charges and Dipoles on a Locally de Sitter Background
• Representing the Graviton Self-Energy on de Sitter Background
• How Inflationary Gravitons Affect the Force of Gravity
• Generalizing Starobinskii's Formalism to Yukawa Theory & to Scalar QED
• Effect of the Trace Anomaly on the Cosmological Constant
• A simple way to take into account back reaction on pair creation
• Quantum Spacetime Instability and Breakdown of Semiclassical Gravity
• Single Graviton Loop Contribution to the Self-Mass of a Massless, Conformally Coupled Scalar on de Sitter Background
• Schwinger's Propagator Is Only A Green's Function
• The graviton one-loop effective action in cosmological space-times with constant deceleration
• Instability of De Sitter Spacetime induced by Quantum Conformal Anomaly
• How Inflationary Gravitons Affect Gravitational Radiation
• Remembrance of Things Past
• Graviton Propagator in a 2-Parameter Family of de Sitter Breaking Gauges
• Graviton Self-Energy from Gravitons in Cosmology
• Graviton one-loop effective action and inflationary dynamics
• Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
• The Inflaton Effective Potential for General $\epsilon$
• Tensor Mode Backreaction During Slow-roll Inflation
• Unfinished Business in A Nonlinear Sigma Model on de Sitter Background
• Symmetry breaking in de Sitter: a stochastic effective theory approach
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• Initial states and infrared physics in locally de Sitter spacetime
• Gauge Independent Logarithms from Inflationary Gravitons
• Causality Implies Inflationary Back-Reaction
• Classical back reaction of low-frequency cosmic gravitational radiation
• Appearances are deceptive: Can graviton have a mass?
• The Third Structure Function