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

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arxiv gr-qc/0412095 v2 pith:BCSQECJB submitted 2004-12-20 gr-qc hep-th

classification gr-qchep-th
keywords fieldamplitudearbitraryelectromagneticloopmixingpartphoton-graviton
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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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Cited by 2 Pith papers

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  1. Probing Axion-Photon conversion via circular polarization imprints in the CMB $V$-mode observations

    astro-ph.CO 2025-10 unverdicted novelty 6.0 of 10

    Proposes that axion-photon conversion in pre-CMB helical magnetic fields imprints detectable V-mode polarization in the CMB, allowing CLASS 40 GHz observations to constrain ALP masses 10^{-10} to 10^{-8} eV and their ...

  2. Compton-like scattering of a scalar particle with N photons and one graviton

    hep-th 2019-08 accept novelty 6.0 of 10

    A master formula and replacement rule compute tree-level amplitudes for a scalar coupled to N photons and one graviton, with gauge and diffeomorphism Ward identities checked for all N.

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