Matter-induced vertices for photon splitting in a weakly magnetized plasma

Details Matter-induced vertices for photon splitting in a weakly magnetized plasma Matter-induced vertices for photon splitting in a weakly magnetized plasma

2001-04-04

arxiv.org/abs/hep-ph/0104045v1

Phys.Rev. D64 (2001) 016006

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 1 figure. Accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.64.016006

We evaluate the three-photon vertex functions at order $B$ and $B^{2}$ in a weak constant magnetic field at finite temperature and density with on shell external lines. Their application to the study of the photon splitting process leads to consider high energy photons whose dispersion relations are not changed significantly by the plasma effects. The absorption coefficient is computed and compared with the perturbative vacuum result. For the values of temperature and density of some astrophysical objects with a weak magnetic field, the matter effects are negligible.

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