Electric-magnetic duality and the conditions of inflationary magnetogenesis

Abstract

The magnetogenesis scenarios triggered by the early variation of the gauge coupling are critically analyzed. In the absence of sources, it is shown that the electric and magnetic power spectra can be explicitly computed by means of electric-magnetic duality transformations. The remnants of a pre-inflationary expansion and the reheating process break explicitly electric-magnetic duality by inducing Ohmic currents. The generation of large-scale magnetic field and the physical distinction between electric and magnetic observables stems, in this class of models, from the final value reached by the conductivity of the plasma right after inflation. Specific numerical examples are given. The physical requirements of viable magnetogenesis scenarios are spelled out.

25 pages, 9 figures

References in corpus (15)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Correlation of the highest energy cosmic rays with nearby extragalactic objects
• Revised equipartition & minimum energy formula for magnetic field strength estimates from radio synchrotron observations
• Magnetic fields from inflation?
• Large-scale magnetic fields in the inflationary universe
• Causality and the speed of sound
• Magnetized CMB observables: a dedicated numerical approach
• Anisotropy studies around the galactic centre at EeV energies with the Auger Observatory
• Magnetogenesis, spectator fields and CMB signatures
• Large-scale magnetic fields from inflation due to Chern-Simons-like effective interaction
• Estimating relic magnetic fields from CMB temperature correlations
• Semi-analytical approach to magnetized temperature autocorrelations
• Parameter dependence of magnetized CMB observables

Cited by in corpus (27)

• Primordial magnetogenesis
• The anisotropic power spectrum and bispectrum in the f(phi) F^2 mechanism
• Observable non-gaussianity from gauge field production in slow roll inflation, and a challenging connection with magnetogenesis
• Inflationary Magnetogenesis without the Strong Coupling Problem
• Anisotropy in solid inflation
• Parity-violating CMB correlators with non-decaying statistical anisotropy
• Higher order statistics of curvature perturbations in IFF model and its Planck constraints
• Constraints on Gauge Field Production during Inflation
• Hanbury Brown-Twiss interferometry and second-order correlations of inflaton quanta
• Origin of cosmic magnetic fields: Superadiabatically amplified modes in open Friedmann universes
• Generation of large-scale magnetic fields, non-Gaussianity, and primordial gravitational waves in inflationary cosmology
• Fluctuations of inflationary magnetogenesis
• Inflationary magneto-(non)genesis, increasing kinetic couplings, and the strong coupling problem
• Generation of large-scale magnetic fields from inflation in teleparallelism
• Inflationary susceptibilities, duality and large-scale magnetic fields generation
• Inflationary magnetogenesis, derivative couplings and relativistic Van der Waals interactions
• Weyl invariance and the conductivity of the protoinflationary plasma
• Reduced bispectrum seeded by helical primordial magnetic fields
• The symmetries of inflationary magnetogenesis and the plasma initial conditions
• Large-scale gauge spectra and pseudoscalar couplings
• Inflationary magnetogenesis in the perturbative regime
• Statistical anisotropy from inflationary magnetogenesis
• On the primordial correlation of gravitons with gauge fields
• Magnetic field contribution to the last electron-photon scattering
• Effective horizons, junction conditions and large-scale magnetism
• Squeezed relic photons beyond the horizon
• The hypermagnetic power spectra and the phases of Sakharov oscillations