Two loop stress-energy tensor for inflationary scalar electrodynamics

Abstract

We calculate the expectation value of the coincident product of two field strength tensors at two loop order in scalar electrodynamics on de Sitter background. The result agrees with the stochastic formulation which we have developed in a companion paper [2] for the nonperturbative resummation of leading logarithms of the scale factor. When combined with a previous computation of scalar bilinears [1], our current result also gives the two loop stress-energy tensor for inflationary scalar electrodynamics. This shows a secular decrease in the vacuum energy which derives from the vacuum polarization induced by the inflationary production of charged scalars.

62 pages, 1 eps figure

References in corpus (52)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Quantum Contributions to Cosmological Correlations
• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• From the Big Bang Theory to the Theory of a Stationary Universe
• Quantum effects can render w<-1 on cosmological scales
• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• The Quantum Gravitational Back-Reaction On Inflation
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Quantum Gravity Slows Inflation
• Stochastic Quantum Gravitational Inflation
• Stochastic Inflationary Scalar Electrodynamics
• Two Loop Scalar Self-Mass during Inflation
• Back Reaction And Local Cosmological Expansion Rate
• Leading Log Solution for Inflationary Yukawa
• Photon mass from inflation
• Large non-Gaussianity in multiple-field inflation
• One Loop Vaccum Polarization in a Locally de Sitter Background
• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• On the divergences of inflationary superhorizon perturbations
• The Fermion Self-Energy during Inflation
• On the One Loop Corrections to Inflation II: The Consistency Relation
• On Resumming Inflationary Perturbations beyond One-loop
• Primordial Spectrum of Gauge Fields from Inflation
• Gradient instability for w < -1
• Non-linear perturbations in multiple-field inflation
• Classical approximation to quantum cosmological correlations
• Reply to `Can infrared gravitons screen $\Lambda$?'
• Stochastic Inflation:The Quantum Phase Space Approach
• Natural Magnetogenesis from Inflation
• Gravitons Enhance Fermions during Inflation
• Production of Massless Fermions during Inflation
• Quantum corrections to the inflaton potential and the power spectra from superhorizon modes and trace anomalies
• No One Loop Back_Reaction In Chaotic Inflation
• Two Loop Scalar Bilinears for Inflationary SQED
• Dynamics of super-horizon photons during inflation with vacuum polarization
• Can infrared gravitons screen $\Lambda$?
• Vacuum polarization and photon mass in inflation
• Fermion Mass Generation in de Sitter Space
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• Charged Scalar Self-Mass during Inflation
• A Maximally Symmetric Vector Propagator
• Non-linear inflationary perturbations
• Quantum radiative corrections to slow-roll inflation
• Scalar Field Equations from Quantum Gravity during Inflation
• Photon mass generation during inflation: de Sitter invariant case
• Simple route to non-Gaussianity in inflation
• Yukawa Scalar Self-Mass on a Conformally Flat Background
• Nearly Minimal Magnetogenesis
• Solving Stochastic Inflation for Arbitrary Potentials
• On leading order gravitational backreactions in de Sitter spacetime
• Possible Constraints on the Duration of Inflationary Expansion from Quantum Stress Tensor Fluctuations
• A graviton propagator for inflation

Cited by in corpus (66)

• Correlation Functions in Stochastic Inflation
• Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop Corrections
• Infrared Propagator Corrections for Constant Deceleration
• De Sitter Breaking through Infrared Divergences
• Field-theoretic derivation of bubble-wall force
• Stochastic Ultra Slow Roll Inflation
• Perturbative Quantum Gravity Comes of Age
• The Zeta-Zeta Correlator Is Time Dependent
• Multiple Fields in Stochastic Inflation
• A Completely Regular Quantum Stress Tensor with $w<-1$
• Infrared dynamics of the massive ${\varphi }^4$ theory on de Sitter space
• Minimal decoherence from inflation
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• Excitation of Photons by Inflationary Gravitons
• Transforming to Lorentz Gauge on de Sitter
• Electrodynamic Effects of Inflationary Gravitons
• Gauging away Physics
• Weyl-Weyl Correlator in de Donder Gauge on de Sitter
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• The physical meaning of the de Sitter invariants
• Summing Inflationary Logarithms in Nonlinear Sigma Models
• Tunneling in Stochastic Inflation
• The Coincidence Limit of the Graviton Propagator in de Donder Gauge on de Sitter Background
• Late-time backreaction from inflationary fluctuations of a non-minimally coupled massless scalar
• The Hubble Effective Potential
• 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
• Quantum Diffusion in Sharp Transition to Non-Slow-Roll Phase
• Covariant Vacuum Polarizations on de Sitter Background
• Symmetry breaking and the Goldstone theorem in de Sitter space
• Stochastic non-attractor inflation
• Stochastic Effects in Anisotropic Inflation
• Polarized vector bosons on the de Sitter expanding universe
• Primordial Density Perturbations and Reheating from Gravity
• Late time solution for interacting scalar in accelerating spaces
• Boundary Crossing in Stochastic Inflation with Critical Number of Fields
• Stochastic Samples versus Vacuum Expectation Values in Cosmology
• First order QED effects on a spatially flat FLRW spacetime with a Milne-type scale factor
• Summing Gravitational Effects from Loops of Inflationary Scalars
• Quadratic Isocurvature Cross-Correlation, Ward Identity, and Dark Matter
• Entropy production in inflation from spectator loops
• Even the photon propagator must break de Sitter symmetry
• Photon propagator in de Sitter space in the general covariant gauge
• Symmetry breaking in de Sitter: a stochastic effective theory approach
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation
• On decoherence of cosmological perturbations and stochastic inflation
• Inflation with Stochastic Boundary
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
• Classicality of Stochastic Noise Away From Quasi-de Sitter Inflation
• Vacuum Zero Point Energy and its Statistical Correlations in dS Background
• Photon propagator for inflation in the general covariant gauge
• Longitudinal Doppler effect in de Sitter expanding universe
• Comment on "Fermion production in a magnetic field in a de Sitter universe"
• Gauge dependence in QED amplitudes in expanding de Sitter space
• Photon quantization in cosmological spaces
• Stochastic Inflation with Interacting Noises
• The Case for Nonlocal Modifications of Gravity
• A photon propagator on de Sitter in covariant gauges
• Energy-momentum tensor and effective Lagrangian of scalar QED with a nonminimal coupling in 2D de Sitter spacetime
• Deviations from Gaussian White Noise in Stochastic Inflation
• Induced energy-momentum tensor in de Sitter scalar QED and its implication for induced current
• Strange Work in Strange Places: Quantum Field Theory in Curved Space
• Vacuum zero point energy of self-interacting quantum fields in dS background