Fully quantum treatment of the Landau--Pomeranchuk--Migdal effect in QED and QCD

Abstract

For the first time a rigorous quantum treatment of the Landau-Pomeranchuk-Migdal effect in QED and QCD is given. The rate of photon (gluon) radiation by an electron (quark) in medium is expressed through 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 $e^{+}{e}^{-}$ pair off an atom, in QCD it is proportional to the cross section of interaction with color centre of the color singlet quark-antiquark-gluon system.

Comments: E-mail: bgz@landau.ac.ru, kph169@aix.sp.kfa-juelich.de