Two Loop Scalar Bilinears for Inflationary SQED

Abstract

We evaluate the one and two loop contributions to the expectation values of two coincident and gauge invariant scalar bilinears in the theory of massless, minimally coupled scalar quantum electrodynamics on a locally de Sitter background. One of these bilinears is the product of two covariantly differentiated scalars, the other is the product of two undifferentiated scalars. The computations are done using dimensional regularization and the Schwinger-Keldysh formalism. Our results are in perfect agreement with the stochastic predictions at this order.

43 pages, LaTeX 2epsilon, 5 figures (using axodraw.sty) Version 2 has updated references and important corrections to Tables 3-5 and to eqns (139-141), (145-146), (153-155), (158) and (160)

References in corpus (22)

• The dS/CFT Correspondence
• Quantum Contributions to Cosmological Correlations
• Quantum effects can render w<-1 on cosmological scales
• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Stochastic Quantum Gravitational Inflation
• Two Loop Scalar Self-Mass during Inflation
• Leading Log Solution for Inflationary Yukawa
• Photon mass from inflation
• One Loop Vaccum Polarization in a Locally de Sitter Background
• The Fermion Self-Energy during Inflation
• Gravitons Enhance Fermions during Inflation
• Production of Massless Fermions during Inflation
• A Leading Logarithm Approximation for Inflationary Quantum Field Theory
• Effective noise in stochastic description of inflation
• Dynamics of super-horizon photons during inflation with vacuum polarization
• Fermion Mass Generation in de Sitter Space
• Vacuum polarization and photon mass in inflation
• Stress Tensor Correlators in the Schwinger-Keldysh Formalism
• Charged Scalar Self-Mass during Inflation
• One Loop Corrected Mode Functions for SQED during Inflation
• Yukawa Scalar Self-Mass on a Conformally Flat Background

Cited by in corpus (67)

• Stochastic Inflationary Scalar Electrodynamics
• Infrared effects in inflationary correlation functions
• Late-time Structure of the Bunch-Davies De Sitter Wavefunction
• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• One-loop corrections to the curvature perturbation from inflation
• Open EFTs, IR Effects and Late-Time Resummations: Systematic Corrections in Stochastic Inflation
• One-loop corrections to a scalar field during inflation
• Classical approximation to quantum cosmological correlations
• Reply to `Can infrared gravitons screen $\Lambda$?'
• Is a Higgs Vacuum Instability Fatal for High-Scale Inflation?
• Infrared Propagator Corrections for Constant Deceleration
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Loops in inflationary correlation functions
• De Sitter Breaking through Infrared Divergences
• 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
• A Maximally Symmetric Vector Propagator
• A Completely Regular Quantum Stress Tensor with $w<-1$
• Scalar Field Equations from Quantum Gravity during Inflation
• Infrared dynamics of the massive ${\varphi }^4$ theory on de Sitter space
• A Simple Operator Check of the Effective Fermion Mode Function during Inflation
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• Predictions in eternal inflation
• Excitation of Photons by Inflationary Gravitons
• Transforming to Lorentz Gauge on de Sitter
• Electrodynamic Effects of Inflationary Gravitons
• A Simplified Quantum Gravitational Model of Inflation
• Solution of the Dyson--Schwinger equation on de Sitter background in IR limit
• Non-linear sigma model in de Sitter space
• Gauging away Physics
• Weyl-Weyl Correlator in de Donder Gauge on de Sitter
• Infra-red effects of Non-linear sigma model in de Sitter space
• Cosmology is not a Renormalization Group Flow
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• Physical meaning and consequences of the loop IR divergences in global dS
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• 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
• Late-time backreaction from inflationary fluctuations of a non-minimally coupled massless scalar
• Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of de Sitter space
• Functional renormalization group in stochastic inflation
• The quantum Fokker-Planck equation of stochastic inflation
• Covariant Vacuum Polarizations on de Sitter Background
• A graviton propagator for inflation
• Symmetry breaking and the Goldstone theorem in de Sitter space
• Polarized vector bosons on the de Sitter expanding universe
• Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
• Comparative study of loop contributions in AdS and dS
• Strong restriction on inflationary vacua from the local gauge invariance III: Infrared regularity of graviton loops
• Late time solution for interacting scalar in accelerating spaces
• Stochastic Samples versus Vacuum Expectation Values in Cosmology
• First order QED effects on a spatially flat FLRW spacetime with a Milne-type scale factor
• Photon propagator in de Sitter space in the general covariant gauge
• Even the photon propagator must break de Sitter symmetry
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation
• One loop corrected conformally coupled scalar mode equations during inflation
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• Loop corrections to primordial non-Gaussianity
• Longitudinal Doppler effect in de Sitter expanding universe
• Photon propagator for inflation in the general covariant gauge
• Causality Implies Inflationary Back-Reaction
• Gauge dependence in QED amplitudes in expanding de Sitter space
• Photon quantization in cosmological spaces
• Energy-momentum tensor and effective Lagrangian of scalar QED with a nonminimal coupling in 2D de Sitter spacetime
• Induced energy-momentum tensor in de Sitter scalar QED and its implication for induced current