Scalar Field Equations from Quantum Gravity during Inflation

Abstract

We exploit a previous computation of the self-mass-squared from quantum gravity to include quantum corrections to the scalar evolution equation. The plane wave mode functions are shown to receive no significant one loop corrections at late times. This result probably applies as well to the inflaton of scalar-driven inflation. If so, there is no significant correction to the $\varphi \varphi$ correlator that plays a crucial role in computations of the power spectrum.

19 pages, 5 tables

References in corpus (38)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Quantum Contributions to Cosmological Correlations
• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• The Cold Dark Matter Density Perturbation
• Inflationary Cosmology
• Quantum effects can render w<-1 on cosmological scales
• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• The Quantum Gravitational Back-Reaction On Inflation
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Quantum Gravity Slows Inflation
• Stochastic Quantum Gravitational Inflation
• Stochastic Inflationary Scalar Electrodynamics
• Two Loop Scalar Self-Mass during Inflation
• Leading Log Solution for Inflationary Yukawa
• Photon mass from inflation
• One Loop Vaccum Polarization in a Locally de Sitter Background
• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• One-loop corrections to the curvature perturbation from inflation
• The Fermion Self-Energy during Inflation
• One-loop corrections to a scalar field during inflation
• On the One Loop Corrections to Inflation II: The Consistency Relation
• One Loop Graviton Self-Energy In A Locally De Sitter Background
• Classical approximation to quantum cosmological correlations
• Gravitons Enhance Fermions during Inflation
• Production of Massless Fermions during Inflation
• A Leading Logarithm Approximation for Inflationary Quantum Field Theory
• Two Loop Scalar Bilinears for Inflationary SQED
• Dynamics of super-horizon photons during inflation with vacuum polarization
• Fermion Mass Generation in de Sitter Space
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• Stress Tensor Correlators in the Schwinger-Keldysh Formalism
• Charged Scalar Self-Mass during Inflation
• Quantum radiative corrections to slow-roll inflation
• Dimensionally Regulated Graviton 1-Point Function in de Sitter
• One Loop Corrected Mode Functions for SQED during Inflation
• Yukawa Scalar Self-Mass on a Conformally Flat Background
• Adiabatic regularization of the graviton stress-energy tensor in de Sitter space-time
• Quantum Effects during Inflation

Cited by in corpus (49)

• Stochastic Gravity: Theory and Applications
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• Perturbative Quantum Gravity Comes of Age
• A Completely Regular Quantum Stress Tensor with $w<-1$
• A Simple Operator Check of the Effective Fermion Mode Function 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
• Electrodynamic Effects of Inflationary Gravitons
• Graviton Propagator in a General Invariant Gauge on de Sitter
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• Scalar Contribution to the Graviton Self-Energy during Inflation
• Gauging away Physics
• Issues Concerning Loop Corrections to the Primordial Power Spectra
• Weyl-Weyl Correlator in de Donder Gauge on de Sitter
• Linearized Weyl-Weyl Correlator in a de Sitter Breaking Gauge
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• Summing Inflationary Logarithms in Nonlinear Sigma Models
• Graviton Corrections to Maxwell's Equations
• The Coincidence Limit of the Graviton Propagator in de Donder Gauge on de Sitter Background
• Soft Gravitons Screen Couplings in de Sitter Space
• Solving the Effective Field Equations for the Newtonian Potential
• Inflationary Scalars Don't Affect Gravitons at One Loop
• 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
• Soft Graviton effects on Gauge theories in de Sitter Space
• Hartree Approximation to the One Loop Quantum Gravitational Correction to the Graviton Mode Function on de Sitter
• Deducing Cosmological Observables from the S-matrix
• Time Dependent Couplings as Observables in de Sitter Space
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter background
• 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
• The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation
• Single Graviton Loop Contribution to the Self-Mass of a Massless, Conformally Coupled Scalar on de Sitter Background
• Testing a Dilaton Gravity Model using Nucleosynthesis
• Scheme dependence of quantum gravity on de Sitter background
• Graviton Self-Energy from Gravitons in Cosmology
• Stochastic Samples versus Vacuum Expectation Values in Cosmology
• The Inflaton Effective Potential for General $\epsilon$
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• One loop corrected conformally coupled scalar mode equations during inflation
• Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
• Effective Lagrangian in de Sitter Spacetime
• New general DBI action, its solution to the paradox of the conversion of kinetic and potential energy in equal rights and their true applications to inflationary cosmology