Can Van Hove singularities be observed in relativistic heavy-ion collisions ?

Details Can Van Hove singularities be observed in relativistic heavy-ion collisions ? Can Van Hove singularities be observed in relativistic heavy-ion collisions ?

2002-01-09

arxiv.org/abs/hep-ph/0201060v1

Pramana 60:711-724,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages including nine figures and style files, invited talk given at the ICPAQGP-2001, November 26-30, 2001, Jaipur, India

Scientific paper

10.1007/BF02705170

Based on general arguments the in-medium quark propagator in a quark-gluon plasma leads to a quark dispersion relation consisting of two branches, of which one exhibits a minimum at some finite momentum. This results in a vanishing group velocity for collective quark modes. Important quantities such as the production rate of low mass lepton pairs and mesonic correlators depend inversely on this group velocity. Therefore these quantities, which follow from self energy diagrams containing a quark loop, are strongly affected by Van Hove singularities (peaks and gaps). If these sharp structures could be observed in relativistic heavy-ion collisions it would reveal the physical picture of the QGP as a gas of quasiparticles.

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