The technique of inverse Mellin transform for processes occurring in a background magnetic field

Details The technique of inverse Mellin transform for processes occurring in a background magnetic field The technique of inverse Mellin transform for processes occurring in a background magnetic field

2002-10-25

arxiv.org/abs/hep-ph/0210344v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

3 pages, LATEX; talk presented at ICHEP02, Amsterdam, The Netherlands, 24-31 July 2002

Scientific paper

10.1016/S0920-5632(03)90686-4

We develop the technique of inverse Mellin transform for processes occurring in a background magnetic field. We show by analyticity that the energy (momentum) derivatives of a field theory amplitude at the zero energy (momentum) is equal to the Mellin transform of the absorptive part of the amplitude. By inverting the transform, the absorptive part of the amplitude can be easily calculated. We apply this technique to calculate the photon polarization function in a background magnetic field.

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