Gravitons Enhance Fermions during Inflation

Abstract

We solve the effective Dirac equation for massless fermions during inflation in the simplest gauge, including all one loop corrections from quantum gravity. At late times the result for a spatial plane wave behaves as if the classical solution were subjected to a time dependent field strength renormalization of Z_2(t) = 1 - \frac{17}{4 π} G H^2 \ln(a) + O(G^2). We show that this also follows from making the Hartree approximation, although the numerical coefficients differ.

31 pages, Latex 2epsilon, 1 figure, version 3 has updated references

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Cited by in corpus (73)

• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• Reply to `Can infrared gravitons screen $\Lambda$?'
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Two Loop Scalar Bilinears for Inflationary SQED
• How Far Are We from the Quantum Theory of Gravity?
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• Perturbative Quantum Gravity Comes of Age
• The Zeta-Zeta Correlator Is Time Dependent
• Quantum radiative corrections to slow-roll inflation
• A Completely Regular Quantum Stress Tensor with $w<-1$
• 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
• Graviton Propagator in a General Invariant Gauge on de Sitter
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• A Simplified Quantum Gravitational Model of Inflation
• Gauging away Physics
• Weyl-Weyl Correlator in de Donder Gauge on de Sitter
• Cosmology is not a Renormalization Group Flow
• Linearized Weyl-Weyl Correlator in a de Sitter Breaking Gauge
• Decoherence in an Interacting Quantum Field Theory: The Vacuum Case
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• Graviton Corrections to Maxwell's Equations
• Summing Inflationary Logarithms in Nonlinear Sigma Models
• The Coincidence Limit of the Graviton Propagator in de Donder Gauge on de Sitter Background
• The Hubble Effective Potential
• Nonlocal Metric Realizations of MOND
• Soft Gravitons Screen Couplings in de Sitter Space
• Constructing Infrared Finite Propagators in Inflating Space-time
• Large Logarithms from Quantum Gravitational Corrections to a Massless, Minimally Coupled Scalar on de Sitter
• Covariant Vacuum Polarizations on de Sitter Background
• 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
• Representing the Vacuum Polarization on de Sitter
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
• Time Dependent Couplings as Observables in de Sitter Space
• One Loop Field Strengths of Charges and Dipoles on a Locally de Sitter Background
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter background
• How Inflationary Gravitons Affect the Force of Gravity
• Representing the Graviton Self-Energy on de Sitter Background
• The Graviton Tail almost Completely Wags the Dog
• Generalizing Starobinskii's Formalism to Yukawa Theory & to Scalar QED
• 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
• Quantum corrections for spinning particles in de Sitter
• Scheme dependence of quantum gravity on de Sitter background
• Primordial Density Perturbations and Reheating from Gravity
• Remembrance of Things Past
• Graviton Propagator in a 2-Parameter Family of de Sitter Breaking Gauges
• Summing Gravitational Effects from Loops of Inflationary Scalars
• Graviton Self-Energy from Gravitons in Cosmology
• Stochastic Samples versus Vacuum Expectation Values in Cosmology
• Alternate Definitions of Loop Corrections to the Primordial Power Spectra
• Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
• Symmetry breaking in de Sitter: a stochastic effective theory approach
• Unfinished Business in A Nonlinear Sigma Model on de Sitter Background
• Coincident Massless, Minimally Coupled Scalar Correlators on General Cosmological Backgrounds
• One loop corrected conformally coupled scalar mode equations during inflation
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
• Gauge Independent Logarithms from Inflationary Gravitons
• Big Steve and the State of the Universe
• Causality Implies Inflationary Back-Reaction
• Large Inflationary Logarithms in a Nontrivial Nonlinear Sigma Model
• Fluctuations in the stress energy tensor of spinor fields evolving in general FRW spacetimes
• Effective Lagrangian in de Sitter Spacetime