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Chiral magnetohydrodynamics with zero total chirality
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Stockholm University, Faculty of Science, Department of Astronomy. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC). Ilia State University, Georgia; Carnegie Mellon University, USA.ORCID iD: 0000-0002-7304-021X
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Number of Authors: 52023 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 108, no 6, article id 063529Article in journal (Refereed) Published
Abstract [en]

We study the evolution of magnetic fields coupled with chiral fermion asymmetry in the framework of chiral magnetohydrodynamics with zero initial total chirality. The initial magnetic field has a turbulent spectrum peaking at a certain characteristic scale and is fully helical with positive helicity. The initial chiral chemical potential is spatially uniform and negative. We consider two opposite cases where the ratio of the length scale of the chiral plasma instability (CPI) to the characteristic scale of the turbulence is smaller and larger than unity. These initial conditions might be realized in cosmological models, including certain types of axion inflation. The magnetic field and chiral chemical potential evolve with inverse cascading in such a way that the magnetic helicity and chirality cancel each other at all times, provided there is no spin flipping. The CPI timescale is found to determine mainly the time when the magnetic helicity spectrum attains negative values at high wave numbers. The turnover time of the energy-carrying eddies, on the other hand, determines the time when the peak of the spectrum starts to shift to smaller wave numbers via an inverse cascade. The onset of helicity decay is determined by the time when the chiral magnetic effect becomes efficient at the peak of the initial magnetic energy spectrum, provided the CPI does not grow much. When spin flipping is important, the chiral chemical potential vanishes at late times and the magnetic helicity becomes constant, which leads to a faster increase of the correlation length. This is in agreement with what is expected from magnetic helicity conservation and also happens when the initial total chirality is imbalanced. Our findings have important implications for baryogenesis after axion inflation.

Place, publisher, year, edition, pages
2023. Vol. 108, no 6, article id 063529
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Astronomy, Astrophysics and Cosmology
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URN: urn:nbn:se:su:diva-224276DOI: 10.1103/PhysRevD.108.063529ISI: 001093991600003Scopus ID: 2-s2.0-85175076493OAI: oai:DiVA.org:su-224276DiVA, id: diva2:1820388
Available from: 2023-12-18 Created: 2023-12-18 Last updated: 2023-12-18Bibliographically approved

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Brandenburg, Axel

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Nordic Institute for Theoretical Physics (Nordita)Department of AstronomyThe Oskar Klein Centre for Cosmo Particle Physics (OKC)
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Physical Review D: covering particles, fields, gravitation, and cosmology
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