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Property of the spectrum of large-scale magnetic fields from inflation

2007/03/31 by Kazuharu Bamba
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Amplitude #Astrophysics #Conformal map #Cosmology #Cosmology and Gravitation Theories #Dynamo #Dynamo theory #Geophysics and Gravity Measurements #Inflation (cosmology) #Invariant (physics) #Magnetic field #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum electrodynamics #Quantum mechanics #Scale (ratio) #Scale invariance #Solar and Space Plasma Dynamics #Spectrum (functional analysis) #Theoretical physics #astro-ph #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.75.083516

published as Phys.Rev.D75:083516,2007 · 8 pages, no figure; references corrected

openalex publication_date 2007/04/16 · arxiv created 2007/04/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The property of the spectrum of large-scale magnetic fields generated due to the breaking of the conformal invariance of the Maxwell theory through some mechanism in inflationary cosmology is studied. It is shown that the spectrum of the generated magnetic fields should not be perfectly scale-invariant but be slightly red so that the amplitude of large-scale magnetic fields can be stronger than \ensuremath∼10^\ensuremath-12 G at the present time. This analysis is performed by assuming the absence of amplification due to the late-time action of some dynamo (or similar) mechanism.

Citations