Scalar Electrodynamics and Primordial Magnetic Fields

Abstract

A primordial magnetic field may be generated during an inflationary period if conformal invariance is broken. We reexamine and generalize previous results about the magnetic field produced by couplings of the form $R^n{F}_{\mu \nu }{F}^{\mu \nu }$. We show that the amplitude of the magnetic field depends strongly on $n$. For adequate values of $n$ the field produced can serve as seed for galactic magnetic fields. We also compute the effective interaction between the electromagnetic field and the geometry in the context of scalar QED (with and without classical conformal invariance). In both cases, the amplitude of the magnetic field is too small to be of astrophysical interest.

16 pages, LaTeX, no figures

References in corpus (2)

• Primordial Magnetic Fields From String Cosmology
• Breaking Of Conformal Invariance And Electromagnetic Field Generation In The Universe

Cited by in corpus (76)

• Primordial magnetogenesis
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Photon mass from inflation
• Large-scale magnetic fields in the inflationary universe
• Gravitational Lensing Under the Effect of Weyl and Bumblebee Gravities: Applications of Gauss-Bonnet Theorem
• One Loop Vaccum Polarization in a Locally de Sitter Background
• Magnetic field production during preheating at the electroweak scale
• Natural Magnetogenesis from Inflation
• Vector Curvaton with varying Kinetic Function
• Primordial magnetic fields induced by cosmological particle creation
• Dynamics of super-horizon photons during inflation with vacuum polarization
• Helical Magnetic Fields from Inflation
• Magnetic Fields from Phase Transitions
• Inflation-Produced Magnetic Fields in R^n F^2 and I F^2 models
• Gauge Invariant Wave Equations in Curved Space-Times and Primordial Magnetic Fields
• Strong gravitational lensing for the photons coupled to Weyl tensor in a Schwarzschild black hole spacetime
• Propagation of vacuum polarized photons in topological black hole spacetimes
• Cosmological Magnetic Fields from Gauge-Mediated Supersymmetry-Breaking Models
• Strong gravitational field time delay for photons coupled to Weyl tensor in a Schwarzschild black hole
• Double shadow of a regular phantom black hole as photons couple to Weyl tensor
• One-loop corrections to the photon propagator in the curved-space QED
• Generic estimates for magnetic fields generated during inflation including Dirac-Born-Infeld theories
• Polarized image of a Schwarzschild black hole with a thin accretion disk as photon couples to Weyl tensor
• Primordial magnetic fields and nonlinear electrodynamics
• Large scale magnetic fields from gravitationally coupled electrodynamics
• Inflation from Charged Scalar and Primordial Magnetic Fields?
• Superadiabatic-type magnetic amplification in conventional cosmology
• Non-minimal Maxwell-Modified Gauss-Bonnet Cosmologies: Inflation and Dark Energy
• The interrelation between the generation of large-scale electric fields and that of large-scale magnetic fields during inflation
• Running of Newton's constant and non integer powers of the d'Alembertian
• Self consistent estimates of magnetic fields from reheating
• Primordial magnetic fields and gravitational baryogenesis in nonlinear electrodynamics
• Primordial Magnetic Fields from Superconducting Cosmic Strings
• Property of the spectrum of large-scale magnetic fields from inflation
• Domain wall solution in $F(R)$ gravity and variation of the fine structure constant
• Strong gravitational lensing for the photons coupled to Weyl tensor in a Kerr black hole spacetime
• Resonant amplification of magnetic seed fields by gravitational waves in the early universe
• Statistical Anisotropy from Vector Curvaton in D-brane Inflation
• Maxwell-Kostelecký Electromagnetism and Cosmic Magnetization
• Dynamical evolution of the electromagnetic perturbation with Weyl corrections
• Generation of large-scale magnetic fields, non-Gaussianity, and primordial gravitational waves in inflationary cosmology
• Ferromagnetic Domain Wall and Primeval Magnetic Field
• Evolution of primordial magnetic fields in mean-field approximation
• Generation of large-scale magnetic fields from inflation in teleparallelism
• Gravity and Electromagnetism with $Y(R)F^2$-type Coupling and Magnetic Monopole Solutions
• Absorption cross section and Hawking radiation of the electromagnetic field with Weyl corrections
• Dynamical evolution of a vector field perturbation coupling to Einstein tensor
• Radiation Fluid Stars in the Non-minimally Coupled $Y(R)F^2$ Gravity
• Rotating charged black hole with Weyl corrections
• Anisotropic power-law inflation for a conformal-violating Maxwell model
• Gravito-magnetic amplification in cosmology
• The amplification of cosmological magnetic fields in Extended $f(T,B)$ Teleparallel Gravity
• Superhorizon magnetic fields
• Nonlinear electrodynamics and CMB polarization
• Optical properties of a Brane-World black hole as photons couple to the Weyl tensor
• Spontaneous Magnetization of Axion Domain Wall and Primordial Magnetic Field
• Compact Stars in the Non-minimally Coupled Electromagnetic Fields to Gravity
• Large-scale magnetic fields from inflation due to a $CPT$-even Chern-Simons-like term with Kalb-Ramond and scalar fields
• Noether Symmetry Approach to the Non-Minimally Coupled $Y(R)F^2$ Gravity
• Semiclassical Gravitoelectromagnetic inflation in a Lorentz gauge: seminal inflaton fluctuations and electromagnetic fields from a 5D vacuum state
• Correlated curvature perturbations and magnetogenesis from the GUT gauge bosons
• Primordial large-scale electromagnetic fields from Gravitoelectromagnetic Inflation
• Coupled inflaton and electromagnetic fields from Gravitoelectromagnetic Inflation with Lorentz and Feynman gauges
• Anisotropic Stars in the Non-minimal $Y(R)F^2$ Gravity
• Non-linear Electrodynamics in Blandford-Znajeck Energy Extraction
• Seminal magnetic fields from Inflato-electromagnetic Inflation
• Super-horizon resonant magnetogenesis during inflation
• Inflationary magnetogenesis and non-local actions: The conformal anomaly
• Gravitational waves in minimal Maxwell $f(R)$ gravity
• Inflation of the Universe by the Non-minimal $Y(R)F^2$ Models
• On Scalar Electromagnetism in Phase Space
• Anisotropic cosmological solutions to the $Y(R)F^2$ gravity
• Ferromagnetism of Axion Domain Wall
• Wormholes in the Non-minimally Coupled Gravity with Electromagnetism
• Anomaly-induced baryogenesis
• Scalar-assisted magnetogenesis during the radiation-dominated epoch