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We propose a new method to compute amplitudes of electroweak processes in thestrong background magnetic field, using $\gamma\to e^+e^-$ as an example. Weshow that the {\it moments} of $\gamma\to e^+e^-$ width are proportional to thederivatives of photon polarization function at the zero energy. Hence, thepair-production width can be easily calculated from the latter by the inverseMellin transform. The prospects of our approach are commented.Comment: 3 pages, talk presented in DPF2000, Aug. 9-12, Ohio State

THE DISPERSIVE APPROACH TO ELECTROWEAK PROCESSES IN THE BACKGROUND MAGNETIC FIELD