Large-scale magnetic fields from inflation due to a $CPT$-even Chern-Simons-like term with Kalb-Ramond and scalar fields

Abstract

We investigate the generation of large-scale magnetic fields due to the breaking of the conformal invariance in the electromagnetic field through the $CPT$-even dimension-six Chern-Simons-like effective interaction with a fermion current by taking account of the dynamical Kalb-Ramond and scalar fields in inflationary cosmology. It is explicitly demonstrated that the magnetic fields on 1Mpc scale with the field strength of $\sim 10^{-9}$G at the present time can be induced.

18 pages, 6 figures, version accepted for publication in Eur. Phys. J. C

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• The evolution of primordial magnetic field since its generation
• Generation of large-scale magnetic fields, non-Gaussianity, and primordial gravitational waves in inflationary cosmology
• Statistical Properties of Scale-Invariant Helical Magnetic Fields and Applications to Cosmology
• Generation of large-scale magnetic fields from inflation in teleparallelism
• Anisotropic power-law inflation for a conformal-violating Maxwell model