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Photon mass generation during inflation: de Sitter invariant case

Tomislav Prokopec and Ewald Puchwein

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We calculate the one-loop vacuum polarization tensor of scalar electrodynamics in a locally de Sitter space-time, endowed with a nearly minimally coupled, light scalar field. We show that the photon dynamics is well approximated by a (local) Proca Lagrangean. Since the photon mass can be much larger than the Hubble parameter, the photons may propagate slowly during inflation. Finally, we briefly discuss magnetic field generation on cosmological scales, and point out that while the spectrum of the magnetic field is identical to that obtained from the massless scalar, BellsimeqB0/ell, the amplitude B0 may be significantly enhanced, implying that the seed field bound for the galactic dynamo can be easily met.


Keywords

magnetic fields

quantum field theory on curved space

inflation

 

E-print Number: astro-ph/0312274

Cited: by |

Refers: to

PACS

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

95.30.Cq Elementary particle processes

11.10.Ef Lagrangian and Hamiltonian approach

98.65.Hb Intracluster matter; cooling flows

12.20.Ds Specific calculations

04.62.+v Quantum fields in curved spacetime

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 04 (April 2004)

Received 16 December 2003, accepted for publication 1 April 2004

Published 27 April 2004



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