Primordial Helical Magnetic Fields from Inflation?
arXiv:2111.02147 · doi:10.1103/PhysRevD.105.023528
Abstract
We revisit the mechanism of helical magnetogenesis during inflation with a parity violating interaction using the formalism of stochastic inflation. One of the polarization of the gauge field undergoes tachyonic growth leading to the generation of helical magnetic fields. We obtain the Langevin equations associated with the electromagnetic fields which are in the form of Ornstein-Uhlenbeck stochastic differential equations. Consequently, the tachyonic growth of the helical magnetic fields is balanced by a mean-reverting process of stochastic dynamics such that the magnetic fields settle down to an equilibrium state with the amplitude smaller than what is obtained in the absence of the stochastic noises. Working in the parameter space of the model where both the backreaction and the strong coupling problems are under control the model does not provide large enough seed to be amplified by the galactic dynamo as the source of the magnetic fields observed on cosmological scales.
24+15 pages, 6 figures, 5 appendices,new references added, match the published version
References in corpus (25)
- Inflationary Universe with Anisotropic Hair
- Strong magnetic fields in normal galaxies at high redshifts
- Lower limit on the strength and filling factor of extragalactic magnetic fields
- Generation of Large-Scale Magnetic Fields in Single-Field Inflation
- Magnetic fields from inflation?
- N-flationary magnetic fields
- Instability of anisotropic cosmological solutions supported by vector fields
- The Nature of Primordial Fluctuations from Anisotropic Inflation
- A Global Probe of Cosmic Magnetic Fields to High Redshifts
- Adding helicity to inflationary magnetogenesis
- Anisotropic Inflation from Charged Scalar Fields
- Universal upper limit on inflation energy scale from cosmic magnetic field
- Gauge-field production during axion inflation in the gradient expansion formalism
- The turbulent chiral-magnetic cascade in the early universe
- Non-perturbative approach for curvature perturbations in stochastic- formalism
- Gamma-ray observations of blazars and the intergalactic magnetic field spectrum
- Early Cosmological Evolution of Primordial Electromagnetic Fields
- Gauge field back-reaction in Born Infeld cosmologies
- Effective Theory of Inflationary Magnetogenesis and Constraints on Reheating
- Stochastic Effects in Anisotropic Inflation
- Gradient expansion formalism for magnetogenesis in the kinetic coupling model
- Baryogenesis, magnetogenesis and the strength of anomalous interactions
- Large-scale gauge spectra and pseudoscalar couplings
- Effective field theories and inflationary magnetogenesis
- Palatini approach and large-scale magnetogenesis