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We investigate the radiative decay of the axion into two photons in anexternal electromagnetic field to one loop order. Our approach is based on theworld-line formalism, which is very suitable to take into account the externalfield to all orders. Afterwards we discuss how the calculation could begeneralized to finite temperature.Comment: 27 pages, 4 figures, corrected and added some references and added  some remarks to appendix

Axion decay in a constant electromagnetic background field and at finite temperature using world-line methods