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On Analytic Properties of the Photon Polarization Function in a Background Magnetic Field

W. F. Kao·G. -L. Lin·J. -J. Tseng
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Abstract

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 $ω< 2m_e$. 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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W. F. Kao, G. -L. Lin, J. -J. Tseng. 2002-10-28. On Analytic Properties of the Photon Polarization Function in a Background Magnetic Field. https://doi.org/10.1016/s0370-2693(01)01296-5

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