Abstract
A rigorous quantum treatment of the Landau-Pomeranchuk-Migdal effect in QED and QCD is given for the first time. The rate of photon (gluon) radiation by an electron (quark) in a medium is expressed in terms of the Green’s function of a two-dimensional Schrödinger equation with an imaginary potential. In QED this potential is proportional to the dipole cross section for scattering of an e + e − pair off an atom, while in QCD it is proportional to the cross section of interaction of the color singlet quark-antiquark-gluon system with a color center.
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Pis’ma Zh. Éksp. Teor. Fiz. 63, No. 12, 906–910 (25 June 1996)
Published in English in the original Russian journal. Edited by Steve Torstveit.