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 induc...

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Autores principales: Maxim Dvornikov, Victor B. Semikoz
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Publicado: SpringerOpen 2021
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spelling oai:doaj.org-article:ae2ea70db6e64cd885752c248b8591ad2021-11-14T12:13:48ZInfluence of the hypermagnetic field noise on the baryon asymmetry generation in the symmetric phase of the early universe10.1140/epjc/s10052-021-09794-21434-60441434-6052https://doaj.org/article/ae2ea70db6e64cd885752c248b8591ad2021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09794-2https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract 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 $$e_\mathrm {R,L}$$ e R , L and $$\nu _{e_\mathrm {L}}$$ ν e 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.Maxim DvornikovVictor B. SemikozSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-8 (2021)
institution DOAJ
collection DOAJ
language EN
topic Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Maxim Dvornikov
Victor B. Semikoz
Influence of the hypermagnetic field noise on the baryon asymmetry generation in the symmetric phase of the early universe
description 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 $$e_\mathrm {R,L}$$ e R , L and $$\nu _{e_\mathrm {L}}$$ ν e 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.
format article
author Maxim Dvornikov
Victor B. Semikoz
author_facet Maxim Dvornikov
Victor B. Semikoz
author_sort Maxim Dvornikov
title Influence of the hypermagnetic field noise on the baryon asymmetry generation in the symmetric phase of the early universe
title_short Influence of the hypermagnetic field noise on the baryon asymmetry generation in the symmetric phase of the early universe
title_full Influence of the hypermagnetic field noise on the baryon asymmetry generation in the symmetric phase of the early universe
title_fullStr Influence of the hypermagnetic field noise on the baryon asymmetry generation in the symmetric phase of the early universe
title_full_unstemmed Influence of the hypermagnetic field noise on the baryon asymmetry generation in the symmetric phase of the early universe
title_sort influence of the hypermagnetic field noise on the baryon asymmetry generation in the symmetric phase of the early universe
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/ae2ea70db6e64cd885752c248b8591ad
work_keys_str_mv AT maximdvornikov influenceofthehypermagneticfieldnoiseonthebaryonasymmetrygenerationinthesymmetricphaseoftheearlyuniverse
AT victorbsemikoz influenceofthehypermagneticfieldnoiseonthebaryonasymmetrygenerationinthesymmetricphaseoftheearlyuniverse
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