One Loop Vaccum Polarization in a Locally de Sitter Background

Details One Loop Vaccum Polarization in a Locally de Sitter Background One Loop Vaccum Polarization in a Locally de Sitter Background

2002-05-30

arxiv.org/abs/gr-qc/0205130v1

Annals Phys. 303 (2003) 251-274

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, LaTeX 2 epsilon, 4 figures

Scientific paper

10.1016/S0003-4916(03)00004-6

We compute the one loop vacuum polarization from massless, minimally coupled scalar QED in a locally de Sitter background. Gauge invariance is maintained through the use of dimensional regularization, whereas conformal invariance is explicitly broken by the scalar kinetic term as well as through the conformal anomaly. A fully renormalized result is obtained. The one loop corrections to the linearized, effective field equations do not vanish when evaluated on-shell. In fact the on-shell one loop correction depends quadratically on the inflationary scale factor, similar to a photon mass. The contribution from the conformal anomaly is insignificant by comparison.

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