One loop photon-graviton mixing in an electromagnetic field: Part 1

Details One loop photon-graviton mixing in an electromagnetic field: Part 1 One loop photon-graviton mixing in an electromagnetic field: Part 1

2004-12-20

arxiv.org/abs/gr-qc/0412095v2

JHEP 0502 (2005) 069

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, final published version (minor corrections)

Scientific paper

10.1088/1126-6708/2005/02/069

Photon-graviton mixing in an electromagnetic field is a process of potential interest for cosmology and astrophysics. At the tree level it has been studied by many authors. We consider the one-loop contribution to this amplitude involving a charged spin 0 or spin 1/2 particle in the loop and an arbitrary constant field. In the first part of this article, the worldline formalism is used to obtain a compact two-parameter integral representation for this amplitude, valid for arbitrary photon energies and background field strengths. The calculation is manifestly covariant througout.

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