Abstract
We calculate one-loop corrections to the vertexes and propagators of photons and charged particles in the strong electric field backgrounds. We use the Schwinger-Keldysh diagrammatic technique. We observe that photon’s Keldysh propagator receives growing with time infrared contribution. As the result, loop corrections are not suppressed in comparison with tree-level contribution. This effect substantially changes the standard picture of the pair production. To sum up leading IR corrections from all loops we consider the infrared limit of the Dyson-Schwinger equations and reduce them to a single kinetic equation.
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Akhmedov, E.T., Astrakhantsev, N. & Popov, F.K. Secularly growing loop corrections in strong electric fields. J. High Energ. Phys. 2014, 71 (2014). https://doi.org/10.1007/JHEP09(2014)071
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DOI: https://doi.org/10.1007/JHEP09(2014)071