Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-02-10
Physics
High Energy Physics
High Energy Physics - Theory
7 pages including 1 figure, revtex, talk presented in Fifth Workshop on Quantum Field Theory under the Influence of External C
Scientific paper
We introduce the technique of inverse Mellin transform in a problem of strong-field QED. We show that the {\it moments} of pair production width in a uniform background magnetic field are proportional to the derivatives of photon polarization function at the zero momentum. Hence, the pair-production width or the absorptive part of the photon polarization function is calculable from the latter by the inverse Mellin transform. Using the {\it Kramers-Kronig} relation, the dispersive part of photon polarization function can be computed as well. Therefore the analytic property of the photon polarization function in all energy range is obtained. We also discuss briefly the possible extensions of this technique to other problems.
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