Photon mass generation during inflation: de Sitter invariant case

Abstract

We calculate the one-loop vacuum polarization tensor of scalar electrodynamics in a locally de Sitter space-time, endowed with a nearly minimally coupled, light scalar field. We show that the photon dynamics is well approximated by a (local) Proca Lagrangean. Since the photon mass can be much larger than the Hubble parameter, the photons may propagate slowly during inflation. Finally, we briefly discuss magnetic field generation on cosmological scales, and point out that, while the spectrum of the magnetic field is identical to that obtained from the massless scalar, B_l ~ B_0/l, the amplitude B_0 may be significantly enhanced, implying that the seed field bound for the galactic dynamo can be easily met.

33 pages, 2 figures, revised version published in JCAP

References in corpus (6)

• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• Photon mass from inflation
• One Loop Vaccum Polarization in a Locally de Sitter Background
• Natural Magnetogenesis from Inflation
• Production of Massless Fermions during Inflation
• Vacuum polarization and photon mass in inflation

Cited by in corpus (55)

• Stochastic Inflationary Scalar Electrodynamics
• Leading Log Solution for Inflationary Yukawa
• Dark energy as a massive vector field
• Magnetic field production during preheating at the electroweak scale
• Infrared Correlations in de Sitter Space: Field Theoretic vs. Stochastic Approach
• Loop Corrections to Standard Model Fields in Inflation
• Vector Curvaton with varying Kinetic Function
• Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Fermion Mass Generation in de Sitter Space
• Perturbative Quantum Gravity Comes of Age
• 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
• Quantum radiative corrections to slow-roll inflation
• A Simple Operator Check of the Effective Fermion Mode Function during Inflation
• Self Regulation of Infrared Correlations for Massless Scalar Fields during Inflation
• One-loop corrections to the photon propagator in the curved-space QED
• Excitation of Photons by Inflationary Gravitons
• A Simplified Quantum Gravitational Model of Inflation
• Fermion Propagator in Cosmological Spaces with Constant Deceleration
• Nearly Minimal Magnetogenesis
• Inflation from Charged Scalar and Primordial Magnetic Fields?
• Cosmology is not a Renormalization Group Flow
• Quantum Scalar Corrections to the Gravitational Potentials on de Sitter Background
• The Hubble Effective Potential
• Covariant Vacuum Polarizations on de Sitter Background
• Statistical Anisotropy from Vector Curvaton in D-brane Inflation
• Symmetry breaking and the Goldstone theorem in de Sitter space
• The cosmology of the nonsymmetric theory of gravitation
• Representing the Vacuum Polarization on de Sitter
• One loop graviton corrections to dynamical photons in de Sitter
• Fermionic vacuum densities in higher-dimensional de Sitter spacetime
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter background
• Quantum estimation in an expanding spacetime
• Representing the Graviton Self-Energy on de Sitter Background
• Ultraviolet Regularisation in de Sitter Space
• Scalar cosmological perturbations from inflationary black holes
• Debye mass in de Sitter space
• 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
• Massless minimal quantum scalar field with an asymmetric self interaction in de Sitter spacetime
• Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
• Radiative Lifting of Flat Directions of the MSSM in de Sitter Background
• Stochastic inflation from quantum field theory and the parametric dependence of the effective noise amplitude
• The Scalar Field Kernel in Cosmological Spaces
• Time dependent particle production and particle number in cosmological de Sitter space
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• Correlated curvature perturbations and magnetogenesis from the GUT gauge bosons
• Resummation of local and non-local scalar self energies via the Schwinger-Dyson equation in de Sitter spacetime
• Debye Screening of Non-Abelian Plasmas in Curved Spacetimes
• Baryogenesis from the amplification of vacuum fluctuations during inflation
• Superhorizon Electromagnetic Field Background from Higgs Loops in Inflation
• Photon propagator for inflation in the general covariant gauge
• Lamb Shift of Unruh Detector Levels
• Vacuum effects induced by a plate in de Sitter spacetime in the presence of a cosmic string