Chiral Battery, scaling laws and magnetic fields

Abstract

We study the generation and evolution of magnetic field in the presence of chiral imbalance and gravitational anomaly which gives an additional contribution to the vortical current. The contribution due to gravitational anomaly is proportional to $T^2$ which can generate a seed magnetic field irrespective of plasma being hirally charged or neutral. We estimate the order of magnitude of the magnetic field to be $10^{30}$~G at $T\sim 10^9$ GeV, with a typical length scale of the order of $10^{-18}$ cm, which is much smaller than the Hubble radius at that temperature ($10^{-8}$ cm). Moreover, such a system possesses scaling symmetry. We show that the $T^2$ term in the vorticity current along with scaling symmetry leads to more power transfer from lower to higher length scale as compared to only chiral anomaly without scaling symmetry.

arXiv comment12 pages, 4 figures

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• The turbulent stress spectrum in the inertial and subinertial ranges
• Contribution of the chiral vortical effect to the evolution of the hypermagnetic field and the matter-antimatter asymmetry in the early Universe
• The generation of matter-antimatter asymmetries and hypermagnetic fields by the chiral vortical effect of transient fluctuations
• The effects of non-helical component of hypermagnetic field on the evolution of the matter-antimatter asymmetry, vorticity, and hypermagnetic field
• Magnetic fields in a hot dense neutrino plasma and the Gravitational Waves
• Particle temperature and the Chiral Vortical Effect in the early universe
• Generating Seed magnetic field à la Chiral Biermann battery
• Chiral transport in curved spacetime via holography
• Implications of baryon-dark matter interaction on IGM temperature and tSZ effect with magnetic field