Influence of the hypermagnetic field noise on the baryon asymmetry generation in the symmetric phase of the early universe

Abstract

We study a matter turbulence caused by strong random hypermagnetic fields (HMFs ) that influence the baryon asymmetry evolution due to the Abelian anomalies in the symmetric phase in the early Universe. Such a matter turbulence is stipulated by the presence of the advection term in the induction equation for which a fluid velocity is dominated by the Lorentz force in the Navier-Stokes equation. For random HMFs, having nonzero mean squared strengths, we calculate the spectra for the HMF energy and the HMF helicity densities. The latter function governs the evolution of the fermion asymmetries in the symmetric phase before the electroweak phase transition (EWPT). In the simplest model based on the first SM generation for the lepton asymmetries of $e_{\mathrm{R},\mathrm{L}}$ and ${\nu }_{e_{\mathrm{L}}}$, we calculate a decline of all fermion asymmetries including the baryon asymmetry, given by the `t Hooft conservation law, when one accounts for a turbulence of HMFs during the universe cooling down to EWPT. We obtain that the stronger the mean squared strength of random initial HMFs is, the deeper the fermion asymmetries decrease, compared to the case in the absence of any turbulence.

15 pages, 8 eps figures, LaTeX2e; minimal changes; version published in Eur.Phys.J.C

References in corpus (5)

• Baryogenesis from Decaying Magnetic Helicity
• Evolution of Magnetic Fields in Freely Decaying Magnetohydrodynamic Turbulence
• Lepton asymmetry growth in the symmetric phase of an electroweak plasma with hypermagnetic fields versus its washing out by sphalerons
• Influence of the turbulent motion on the chiral magnetic effect in the early Universe
• The effects of non-helical component of hypermagnetic field on the evolution of the matter-antimatter asymmetry, vorticity, and hypermagnetic field

Cited by in corpus (1)

• Gravitational waves generation in turbulent hypermagnetic fields before the electroweak phase transition