One loop vacuum polarization in a locally de Sitter background. (English) Zbl 1028.81043
Summary: 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.
MSC:
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
| 81V05 | Strong interaction, including quantum chromodynamics |
| 83F05 | Relativistic cosmology |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
| 81T15 | Perturbative methods of renormalization applied to problems in quantum field theory |
| 81T50 | Anomalies in quantum field theory |
Keywords:
gauge ivnariance; dimensional regularization; conformula anomaly; inflationary scale factorReferences:
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