2013/07/09 by Massimo Giovannini · 1 citation
Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Electroweak interaction #Helicity #Magnetic field #Magnetic helicity #Magnetohydrodynamics #Mathematical physics #Physics #Plasma #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Solar and Space Plasma Dynamics #Theoretical physics #astro-ph.CO #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.88.063536
published as Phys. Rev. D 88, 063536 (2013) · 25 pages, no figures
arxiv created 2013/07/09 · openalex publication_date 2013/09/27 · arxiv updated 2013/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Anomalous symmetries induce currents which can be parallel rather than orthogonal to the hypermagnetic field. Building on the analogy of charged liquids at high magnetic Reynolds numbers, the persistence of anomalous currents is scrutinized for parametrically large conductivities when the plasma approximation is accurate. Different examples in globally neutral systems suggest that the magnetic configurations minimizing the energy density with the constraint that the helicity be conserved coincide, in the perfectly conducting limit, with the ones obtainable in ideal magnetohydrodynamics where the anomalous currents are neglected. It is argued that this is the rationale for the ability to extend to anomalous magnetohydrodynamics the hydromagnetic solutions characterized by finite gyrotropy. The generally covariant aspects of the problem are addressed with particular attention to conformally flat geometries which are potentially relevant for the description of the electroweak plasma prior to the phase transition.