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Photon mass generation during inflation: de Sitter invariant case
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Photon mass generation during inflation: de Sitter invariant case
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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, B_l ~ B_0/l, the amplitude B_0 may be significantly enhanced, implying that the seed field bound for the galactic dynamo can be easily met.
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Cited by 1 Pith paper
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Yukawa scalar self energy at two loop and $\langle \phi^2 \rangle$ in the inflationary de Sitter spacetime
Two-loop Yukawa corrections in de Sitter yield ⟨ϕ²⟩ ~ ln⁴a at late times, with a resummed expression that is bounded, decreases with larger Yukawa coupling, and implies a growing dynamical scalar mass.
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