Influence of the Landau-Pomeranchuk Effect on Lepton-Pair Production

An estimate is made of the Landau-Pomeranchuk effect on the production of dileptons in a hadronic gas and in a quark-gluon plasma. For low mass dilepton pairs this effect reduces the production rate for bremsstrahlung by an order of magnitude. For high invariant masses its influence is negligible. This behaviour is of importance for the theoretical analysis of low mass dilepton pairs produced in relativistic heavy ion collisions.