Generalizing Starobinskii's Formalism to Yukawa Theory & to Scalar QED

Abstract

During inflation quantum effects from massless, minimally coupled scalars and gravitons can be strengthened so much that perturbation theory breaks down. To follow the subsequent evolution one must employ a nonperturbative resummation. Starobinski\uı has developed such a technique for simple scalDuring inflation quantum effects from massless, minimally coupled scalars and gravitons can be strengthened so much that perturbation theory breaks down. To follow the subsequent evolution one must employ a nonperturbative resummation. Starobinski\uı has developed such a technique for simple scalar theories. I discuss recent progress in applying this technique to more complicated models.

arXiv comment13 pages, LaTeX 2 epsilon, 2 figures, to appear in the Proceedings of NEB XII, Nauplion, Greece, June 29 -- July 2, 2006, version 2 has an updated reference list

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• Reply to `Can infrared gravitons screen $\Lambda$?'
• Is a Higgs Vacuum Instability Fatal for High-Scale Inflation?
• Infrared dynamics of the massive ${\varphi }^4$ theory on de Sitter space
• Condensates and quasiparticles in inflationary cosmology: mass generation and decay widths
• Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
• Solution of the Dyson--Schwinger equation on de Sitter background in IR limit
• Physical meaning and consequences of the loop IR divergences in global dS
• Cosmological Daemon
• Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
• Resummation of infrared logarithms in de Sitter space via Dyson-Schwinger equations: the ladder-rainbow approximation
• Pre-slow roll initial conditions: large scale power suppression and infrared aspects during inflation
• Soft Gravitons Screen Couplings in de Sitter Space
• Soft Graviton effects on Gauge theories in de Sitter Space
• Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
• Comparative study of loop contributions in AdS and dS
• Scheme dependence of quantum gravity on de Sitter background
• Stationary Phase Approximation and Instanton-like States for Cosmological In-In Path Integrals