One Loop Corrected Mode Functions for SQED during Inflation

Abstract

We solve the one loop effective scalar field equations for spatial plane waves in massless, minimally coupled scalar quantum electrodynamics on a locally de Sitter background. The computation is done in two different gauges: a non-de Sitter invariant analogue of Feynman gauge, and in the de Sitter invariant, Lorentz gauge. In each case our result is that the finite part of the conformal counterterm can be chosen so that the mode functions experience no significant one loop corrections at late times. This is in perfect agreement with a recent, all orders stochastic prediction.

26 pages, uses LaTeX 2 epsilon, no figures, version 2 has an updated reference list

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• Quantum effects can render w<-1 on cosmological scales
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• Gravitons Enhance Fermions during Inflation
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Cited by in corpus (49)

• Infrared effects in inflationary correlation functions
• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• One-loop corrections to the curvature perturbation from inflation
• One-loop corrections to a scalar field during inflation
• On the One Loop Corrections to Inflation II: The Consistency Relation
• Reply to `Can infrared gravitons screen $\Lambda$?'
• Two Loop Scalar Bilinears for Inflationary SQED
• De Sitter Breaking through Infrared Divergences
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• Perturbative Quantum Gravity Comes of Age
• A Maximally Symmetric Vector Propagator
• 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
• Infrared dynamics of the massive ${\varphi }^4$ theory on de Sitter space
• 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
• Transforming to Lorentz Gauge on de Sitter
• Graviton Propagator in a General Invariant Gauge on de Sitter
• Non-linear sigma model in de Sitter space
• Scalar Contribution to the Graviton Self-Energy during Inflation
• Weyl-Weyl Correlator in de Donder Gauge on de Sitter
• Linearized Weyl-Weyl Correlator in a de Sitter Breaking Gauge
• Graviton Corrections to Maxwell's Equations
• The Coincidence Limit of the Graviton Propagator in de Donder Gauge on de Sitter Background
• Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of 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
• Hartree Approximation to the One Loop Quantum Gravitational Correction to the Graviton Mode Function on de Sitter
• 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
• Representing the Graviton Self-Energy on de Sitter Background
• Loop Corrections to Cosmological Perturbations in Multi-field Inflationary Models
• The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation
• First order QED effects on a spatially flat FLRW spacetime with a Milne-type scale factor
• Radiative Lifting of Flat Directions of the MSSM in de Sitter Background
• Photon propagator in de Sitter space in the general covariant gauge
• Even the photon propagator must break de Sitter symmetry
• Inflaton Effective Potential from Photons for General $\epsilon$
• One loop corrected conformally coupled scalar mode equations during inflation
• Photon propagator for inflation in the general covariant gauge
• Longitudinal Doppler effect in de Sitter expanding universe
• Entropy mode loops and cosmological correlations during perturbative reheating
• Gauge dependence in QED amplitudes in expanding de Sitter space
• Comment on "Fermion production in a magnetic field in a de Sitter universe"
• Photon quantization in cosmological spaces