On Analytic Properties of the Photon Polarization Function in a Background Magnetic Field
Kao, W. F. · Lin, G. -L. · Tseng, J. -J.
Original · EN
We examine the analytic properties of the photon polarization function in a background magnetic field, using the technique of inverse Mellin transform. The photon polarization function is first expressed as a power series of the photon energy ω with ω< 2mₑ. Based upon this energy expansion and the branch cut of the photon polarization function in the complex ω plane, we compute the absorptive part of the polarization function with the inverse Mellin transform. Our results are valid for arbitrary photon energies and magnetic-field strengths. The applications of our approach are briefly discussed.
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