, Volume 60, Issue 4, pp 711–723 | Cite as

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

  • Munshi G. Mustafa
  • Markus H. Thoma


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 quark-gluon plasma (QGP) as a gas of quasiparticles.


Perturbative quantum chromodynamics hard thermal loop gluon condensate quarkgluon plasma dispersion relation collective modes van Hove singularity relativistic heavy-ion collisions 


12.38.Mh 11.10.Wx 


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Copyright information

© Indian Academy of Sciences 2003

Authors and Affiliations

  • Munshi G. Mustafa
    • 1
  • Markus H. Thoma
    • 2
  1. 1.Theory GroupSaha Institute of Nuclear PhysicsKolkataIndia
  2. 2.Max-Planck-Institut für Extraterrestrische PhysikGarchingGermany

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