Inflationary magnetogenesis from dynamical gauge couplings

The evolution of the gauge coupling is modelled using a scalar degree of freedom whose homogeneous and inhomogeneous modes evolve from an ordinary inflationary phase to the subsequent epochs. Depending upon various parameters (scalar mass, curvature scale at the end of inflation and at the onset of the radiation epoch), the two-point function of the magnetic inhomogeneities grows during the de Sitter stage of expansion and, consequently, large scale magnetic fields are generated. The requirements coming from inflationary magnetogenesis are examined together with the theoretical constraints stemming from the explicit model of the evolution of the gauge coupling. Galactic magnetogenesis is possible for a wide range of parameters. Inter-galactic and inter-cluster magnetogenesis are also discussed. Preprint Number: UNIL-IPT-01-06, March 2001 Electronic address: [email protected] 1