Stochastic Inflationary Scalar Electrodynamics

Abstract

We stochastically formulate the theory of scalar quantum electrodynamics on a de Sitter background. This reproduces the leading infrared logarithms at each loop order. It also allows one to sum the series of leading infrared logarithms to obtain explicit, nonperturbative results about the late time behavior of the system. One consequence is confirmation of the conjecture by Davis, Dimopoulos, Prokopec and Tornkvist that super-horizon photons acquire mass during inflation. We compute a photon mass-suqared of about 3.2991 H^2. The scalar stays perturbatively light with a mass-squared of about 0.8961 3 e^2 H^2/8pi^2. Interestingly, the induced change in the cosmological constant is negative, of about -0.6551 3 G H^4/pi.

52 pages, 7 figures, uses LaTeX 2epsilon, version 2 corrects eqn (138) and updates the reference list

References in corpus (28)

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Cited by in corpus (141)

• Correlation Functions in Stochastic Inflation
• Leading Log Solution for Inflationary Yukawa
• Open EFTs, IR Effects and Late-Time Resummations: Systematic Corrections in Stochastic Inflation
• Nonlocal Models of Cosmic Acceleration
• Dominance of gauge artifact in the consistency relation for the primordial bispectrum
• An effective field theory during inflation: reduced density matrix and its quantum master equation
• Reply to `Can infrared gravitons screen $\Lambda$?'
• Observational Viability and Stability of Nonlocal Cosmology
• Gravitons Enhance Fermions during Inflation
• Is a Higgs Vacuum Instability Fatal for High-Scale Inflation?
• Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space
• On "dynamical mass" generation in Euclidean de Sitter space
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Loops in inflationary correlation functions
• De Sitter Breaking through Infrared Divergences
• Stochastic Ultra Slow Roll Inflation
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• One-loop Corrections to Scalar and Tensor Perturbations during Inflation in Stochastic Gravity
• An effective field theory during inflation II: stochastic dynamics and power spectrum suppression
• Perturbative Quantum Gravity Comes of Age
• The Zeta-Zeta Correlator Is Time Dependent
• Effective long wavelength scalar dynamics in de Sitter
• Multiple Fields in Stochastic Inflation
• Scalar field correlator in de Sitter space at next-to-leading order in a 1/N expansion
• Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
• A parton picture of de Sitter space during slow-roll inflation
• 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
• One Loop Corrected Mode Functions for SQED during Inflation
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation
• Effective Field Theory out of Equilibrium: Brownian quantum fields
• Scalar correlation functions in de Sitter space from the stochastic spectral expansion
• Excitation of Photons by Inflationary Gravitons
• Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
• Electrodynamic Effects of Inflationary Gravitons
• Transforming to Lorentz Gauge on de Sitter
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• A Simplified Quantum Gravitational Model of Inflation
• On the Decay of Massive Fields in de Sitter
• Fermion Propagator in Cosmological Spaces with Constant Deceleration
• Non-linear sigma model in de Sitter space
• Stochastic Inflation Revisited: Non-Slow Roll Statistics and DBI Inflation
• Solution of the Dyson--Schwinger equation on de Sitter background in IR limit
• A Phenomenological Model for the Early Universe
• Gauging away Physics
• Weyl-Weyl Correlator in de Donder Gauge on de Sitter
• Issues Concerning Loop Corrections to the Primordial Power Spectra
• Cosmology is not a Renormalization Group Flow
• Physical meaning and consequences of the loop IR divergences in global dS
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• 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
• Tunneling in Stochastic Inflation
• Imprint of entanglement entropy in the power spectrum of inflationary fluctuations
• Late-time backreaction from inflationary fluctuations of a non-minimally coupled massless scalar
• The Hubble Effective Potential
• Functional renormalization group in stochastic inflation
• Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of de Sitter space
• The quantum Fokker-Planck equation of stochastic inflation
• Soft Gravitons Screen Couplings in de Sitter Space
• Nonlocal Metric Realizations of MOND
• Massive scalar field in de Sitter spacetime: a two-loop calculation and a comparison with the stochastic approach
• Constructing Infrared Finite Propagators in Inflating Space-time
• Covariant Vacuum Polarizations on de Sitter Background
• Quantum Diffusion in Sharp Transition to Non-Slow-Roll Phase
• A Caveat on Building Nonlocal Models of Cosmology
• A graviton propagator for inflation
• Soft Graviton effects on Gauge theories in de Sitter Space
• Symmetry breaking and the Goldstone theorem in de Sitter space
• Scalar correlation functions for a double-well potential in de Sitter space
• Revisiting Magnetogenesis during Inflation
• Stochastic non-attractor inflation
• Cosmological Coleman-Weinberg Potentials and Inflation
• Quantum Gravity and Inflation
• One loop graviton corrections to dynamical photons in de Sitter
• Infrared Behavior of Quantum Fields in Inflationary Cosmology -- Issues and Approaches: an overview
• Stochastic Effects in Anisotropic Inflation
• One Loop Field Strengths of Charges and Dipoles on a Locally de Sitter Background
• Strong restriction on inflationary vacua from the local gauge invariance I: Local gauge invariance and infrared regularity
• Strong restriction on inflationary vacua from the local gauge invariance II: Infrared regularity and absence of the secular growth in Euclidean vacuum
• Renormalization group inspired autonomous equations for secular effects in de Sitter space
• Fermionic influence (action) on inflationary fluctuations
• The Graviton Tail almost Completely Wags the Dog
• Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
• Magnetogenesis and the primordial non-gaussianity
• Primordial Density Perturbations and Reheating from Gravity
• Comparative study of loop contributions in AdS and dS
• Scheme dependence of quantum gravity on de Sitter background
• Strong restriction on inflationary vacua from the local gauge invariance III: Infrared regularity of graviton loops
• Boundary Crossing in Stochastic Inflation with Critical Number of Fields
• Late time solution for interacting scalar in accelerating spaces
• Light scalars on cosmological backgrounds
• Summing Gravitational Effects from Loops of Inflationary Scalars
• Stochastic Samples versus Vacuum Expectation Values in Cosmology
• Bose-Fermi Cancellation of Cosmological Coleman-Weinberg Potentials
• The Inflaton Effective Potential for General $\epsilon$
• Ricci Subtraction for Cosmological Coleman-Weinberg Potentials
• Massless minimal quantum scalar field with an asymmetric self interaction in de Sitter spacetime
• Non-perturbative analysis for a massless minimal quantum scalar with $V(\varphi )=\lambda {\varphi }^4/4!+\beta {\varphi }^3/3!$ in the inflationary de Sitter spacetime
• Even the photon propagator must break de Sitter symmetry
• Photon propagator in de Sitter space in the general covariant gauge
• Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
• Symmetry breaking in de Sitter: a stochastic effective theory approach
• Inflaton Effective Potential from Photons for General $\epsilon$
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation
• Primordial Gravitational Waves Enhancement
• Inflation with Stochastic Boundary
• One loop corrected conformally coupled scalar mode equations during inflation
• Possible Enhancement of High Frequency Gravitational Waves
• On decoherence of cosmological perturbations and stochastic inflation
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• An Improved Cosmological Model
• Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
• Inflaton Effective Potential from Fermions for General $\epsilon$
• On the rest and flat limits of the scalar modes on the de Sitter spacetime
• A perturbative production of massive Z bosons and fermion-antifermion pairs from the vacuum in the de Sitter Universe
• Resummation of local and non-local scalar self energies via the Schwinger-Dyson equation in de Sitter spacetime
• Non-local cosmological models
• Photon propagator for inflation in the general covariant gauge
• Loop corrections to the current of created pairs in the lengthy electric pulse
• Classicality of Stochastic Noise Away From Quasi-de Sitter Inflation
• Big Steve and the State of the Universe
• Causality Implies Inflationary Back-Reaction
• Comment on "Fermion production in a magnetic field in a de Sitter universe"
• Gauge dependence in QED amplitudes in expanding de Sitter space
• Trapping effects in inflation: blue spectrum at small scales
• Photon quantization in cosmological spaces
• $\Delta \mathcal{N}$ and the stochastic conveyor belt of Ultra Slow-Roll
• Stochastic Inflation with Interacting Noises
• Induced energy-momentum tensor in de Sitter scalar QED and its implication for induced current
• Deviations from Gaussian White Noise in Stochastic Inflation
• Strange Work in Strange Places: Quantum Field Theory in Curved Space
• Energy-momentum tensor and effective Lagrangian of scalar QED with a nonminimal coupling in 2D de Sitter spacetime
• A photon propagator on de Sitter in covariant gauges
• Stochastic quantum inflation for a canonical scalar field with linear self-interaction potential
• Scalar field stochastic dynamics in de Sitter spacetime from exact solutions of quantum deficient oscillators
• Testing Inflationary Cosmology