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

References in corpus (6)

• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Stochastic Inflationary Scalar Electrodynamics
• On the one loop corrections to inflation and the CMB anisotropies
• Leading Log Solution for Inflationary Yukawa
• Gravitons Enhance Fermions during Inflation
• Fermion Mass Generation in de Sitter Space

Cited by in corpus (9)

• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• 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
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• A Maximally Symmetric Vector Propagator
• Scalar Field Equations from Quantum Gravity during Inflation
• A Simple Operator Check of the Effective Fermion Mode Function during Inflation
• Radiative Lifting of Flat Directions of the MSSM in de Sitter Background