Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation

Abstract

We compute the one loop corrections from quantum gravity to the self-mass-squared of a massless, minimally coupled scalar on a locally de Sitter background. The calculation was done using dimensional regularization and renormalized by subtracting fourth order BPHZ counterterms. Our result should determine whether quantum gravitational loop corrections can significantly alter the dynamics of a scalar inflaton.

47 pages, 3 figures, 20 tables, uses LaTeX 2 epsilon, version 2 revised for publication in Physical Review D

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• 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
• 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
• Transforming to Lorentz Gauge on de Sitter
• 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
• Gauge-invariant quantum gravitational corrections to correlation functions
• Gauging away Physics
• Weyl-Weyl Correlator in de Donder Gauge on de Sitter
• Issues Concerning Loop Corrections to the Primordial Power Spectra
• Linearized Weyl-Weyl Correlator in a de Sitter Breaking Gauge
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• 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
• Inflationary Scalars Don't Affect Gravitons at One Loop
• Solving the Effective Field Equations for the Newtonian Potential
• Covariant Vacuum Polarizations on de Sitter Background
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• A Caveat on Building Nonlocal Models of Cosmology
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• Soft Graviton effects on Gauge theories in de Sitter Space
• Deducing Cosmological Observables from the S-matrix
• Time Dependent Couplings as Observables in de Sitter Space
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• 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
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• Quantum corrections for spinning particles in de Sitter
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• Single Graviton Loop Contribution to the Self-Mass of a Massless, Conformally Coupled Scalar on de Sitter Background
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• Remembrance of Things Past
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• Graviton Self-Energy from Gravitons in Cosmology
• Stochastic Samples versus Vacuum Expectation Values in Cosmology
• The Inflaton Effective Potential for General $\epsilon$
• Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
• 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
• One loop corrected conformally coupled scalar mode equations during inflation
• Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
• Gauge Independent Logarithms from Inflationary Gravitons
• Entropy mode loops and cosmological correlations during perturbative reheating
• Effective Lagrangian in de Sitter Spacetime