Revisiting Nucleosynthesis Constraints on Primordial Magnetic Fields

Abstract

In view of several conflicting results, we reanalyze the effects of magnetic fields on the primordial nucleosynthesis. In the case the magnetic field is homogeneous over a horizon volume, we show that the main effects of the magnetic field are given by the contribution of its energy density to the Universe expansion rate and the effect of the field on the electrons quantum statistics. Although, in order to get an upper limit on the field strength, the weight of the former effect is numerically larger, the latter cannot be neglected. Including both effects in the PN code we get the upper limit $B\le 1\times 10^{11}$ Gauss at the temperature $T=10^9{}^{o}K$. We generalize the considerations to cases when instead the magnetic is inhomogeneous on the horizon length. We show that in these cases only the effect of the magnetic field on the electrons statistics is relevant. If the coherence length of the magnetic field at the end of the PN is in the range $10\ll L_0\ll 10^{11}$ cm our upper limit is $B\le 1\times 10^{12}$ Gauss.

12 pages LaTex file with two included ps figs

Cited by in corpus (83)

• Magnetic Fields in the Early Universe
• Origin of Galactic and Extragalactic Magnetic Fields
• The Magnetized Universe
• Primordial Hypermagnetic Fields and Triangle Anomaly
• Primordial magnetogenesis
• Constraints on a Primordial Magnetic Field
• Generation of Large-Scale Magnetic Fields in Single-Field Inflation
• Cosmology with inhomogeneous magnetic fields
• Cosmic Microwave Background Quadrupole and Ellipsoidal Universe
• Large-scale magnetic fields from inflation in dilaton electromagnetism
• Gravitational waves constraints on post-inflationary phases stiffer than radiation
• Quantum Magnetic Collapse
• Primordial magnetic fields, anomalous isocurvature fluctuations and Big Bang nucleosynthesis
• Evolution of Primordial Magnetic Fields from Phase Transitions
• Primordial Magnetic Fields
• Constraints on the Variation of the Fine Structure Constant from Big Bang Nucleosynthesis
• Constraining Primordial Magnetism
• Magnetized cosmological perturbations
• Primordial magnetic fields induced by cosmological particle creation
• Neutrino Dispersion in Magnetized Media and Spin Oscillations in the Early Universe
• Neutrino Self-Energy and Index of Refraction in Strong Magnetic Field: A New Approach
• Cosmological perturbations on a magnetised Bianchi I background
• Inflation-Produced Magnetic Fields in Nonlinear Electrodynamics
• The influence of magnetic fields on the thermodynamics of primordial star formation
• Constraints on Primordial Magnetic Fields from Planck combined with the South Pole Telescope CMB B-mode polarization measurements
• Depolarization of the cosmic microwave background by a primordial magnetic field and its effect upon temperature anisotropy
• Cosmic microwave background polarization, Faraday rotation and stochastic gravity-waves backgrounds
• Magnetogenesis and the dynamics of internal dimensions
• Updated constraint on a primordial magnetic field during big bang nucleosynthesis and a formulation of field effects
• Noncommutativity in Space and Primordial Magnetic Field
• Primordial Magnetism in the CMB: Exact Treatment of Faraday Rotation and WMAP7 Bounds
• Strongly first order electroweak phase transition induced by primordial hypermagnetic fields
• Generation of Cosmic Magnetic Fields and Gravitational Waves at Neutrino Decoupling
• Chiral Magnetohydrodynamic Turbulence
• Large-scale magnetic fields from inflation due to Chern-Simons-like effective interaction
• Neutrinos with Magnetic Moment: Depolarization Rate in Plasma
• Constraints on primordial magnetic fields from magnetically-induced perturbations: current status and future perspectives with LiteBIRD and future ground based experiments
• Cosmological magnetic fields
• Primordial magnetic fields and gravitational baryogenesis in nonlinear electrodynamics
• Big Bang Nucleosynthesis with an Inhomogeneous Primordial Magnetic Field Strength
• Cosmological magnetic field survival
• Property of the spectrum of large-scale magnetic fields from inflation
• Polarization of gravitational waves from helical MHD turbulent sources
• Probing Primordial Magnetism with Off-Diagonal Correlators of CMB Polarization
• Primordial magnetic field generation via primordial black hole disks
• Effects of power law primordial magnetic field on big bang nucleosynthesis
• Constraining Primordial Magnetic Fields with Future Cosmic Shear Surveys
• Effective potential at finite temperature in a constant hypermagnetic field: Ring diagrams in the Standard Model
• Origin of cosmic magnetic fields: Superadiabatically amplified modes in open Friedmann universes
• Primordial magnetic seed fields from extra dimensions
• Searching for Primordial Magnetic Fields with CMB B-modes
• Primordial magnetic field from non-inflationary cosmic expansion in Horava-Lifshitz gravity
• Magnetic fields in the early universe in the string approach to MHD
• Generation of large-scale magnetic fields, non-Gaussianity, and primordial gravitational waves in inflationary cosmology
• Symmetry restoration at finite temperature with weak magnetic fields
• Primordial magnetic field as a common solution of nanohertz gravitational waves and the Hubble tension
• Magnetized Quark and Strange Quark Matter in the Spherical Symmetric Space-Time Admitting Conformal Motion
• Primordial magnetic field constraints from the end of reionization
• Magnetic field generation from primordial black hole distributions
• CMB limits on large-scale magnetic fields in an inhomogeneous universe
• Generation of large-scale magnetic fields from inflation in teleparallelism
• The scalar, vector, and tensor modes in gravitational wave turbulence simulations
• Magnification bias as a novel probe for primordial magnetic fields
• A lower bound on the local extragalactic magnetic field
• Cosmic magnetization in curved and Lorentz violating space-times
• Magnetic Knots as The origin of Spikes in the Gravitational Waves Backgrounds
• Screening corrections to Electron Capture Rates and resulting constraints on Primordial Magnetic Fields
• LiteBIRD Science Goals and Forecasts: Primordial Magnetic Fields
• Radiative neutrino decays in very strong magnetic fields
• Spontaneous Magnetization of Axion Domain Wall and Primordial Magnetic Field
• Nonlinear electrodynamics and CMB polarization
• Primordial Magnetism in CMB B-modes
• Large-scale magnetic fields from inflation due to a $CPT$-even Chern-Simons-like term with Kalb-Ramond and scalar fields
• Constraints on the multi-lognormal magnetic fields from the observations of the cosmic microwave background and the matter power spectrum
• Weak reaction freeze-out constraints on primordial magnetic fields
• A Possible Dynamical Effect of a Primordial Magnetic Field
• Relativistic theory of inverse beta-decay of polarized neutron in strong magnetic field
• MHD waves within Noncommutative Maxwell theory
• Electroweak phase transition in the presence of hypermagnetic field and the generation of gravitational waves
• On minimal energy states of chiral MHD turbulence
• A non-perturbative study of the evolution of cosmic magnetised sources
• Gravitational wave signal from primordial magnetic fields in the Pulsar Timing Array frequency band
• Structure Formation with Dark Magnetohydrodynamics