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

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

1996-07-26

arxiv.org/abs/hep-ph/9607440v1

JETP Lett.63:952-957,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1134/1.567126

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 Schr\"odinger 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.

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