Abstract
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.
Similar content being viewed by others
References
E Braaten, R D Pisarski and T C Yuan,Phys. Rev. Lett. 64, 2242 (1990)
M G Mustafa, A Schäfer and M H Thoma,Nucl. Phys. A661, 653c (1999)
M G Mustafa, A Schäfer and M H Thoma,Phys. Rev. C61, 024902 (2000)
A Peshier and M H Thoma,Phys. Rev. Lett. 84, 841 (2000)
F Karsch, M Mustafa and M H Thoma,Phys. Lett. B497, 249 (2001)
M H Thoma,Nucl. Phys. (Proc. Suppl.) B92, 162 (2001)
L van Hove,Phys. Rev. 89, 1189 (1953)
N W Ashcroft and N D Mermin,Solid state physics (Saunders College, Philadelphia, 1976)
R S Markiewicz,J. Phys. Chem. Sol. 58, 1179 (1997)
K Kajantie and J I Kapusta,Ann. Phys. (NY) 160, 477 (1985)
J C Parikh, P J Siemens and J A Lopez,Pramana—J. Phys. 32, 555 (1989)
E Braaten and R D Pisarski,Nucl. Phys. B337, 569 (1990)
J Frenkel and J C Taylor,Nucl. Phys. B334, 199 (1990)
V V Klimov,Sov. Phys. JETP 55, 199 (1982)
H A Weldon,Phys. Rev. D26, 1394 (1982)
V P Silin,Sov. Phys. JETP 11, 1136 (1960)
H A Weldon,Phys. Rev. D26, 2789 (1982)
W Florkowski and B L Friman,Z Phys. A347, 271 (1994)
R Baier, S Peigné and D Schiff,Z. Phys. C62, 337 (1994)
P Aurencheet al, Phys. Rev. D61, 116001 (2000)
T Hatsuda and T Kunihiro,Phys. Rep. 247, 221 (1994)
P Chakraborty, M G Mustafa and M H Thoma,Phys. Rev. D (to be published, 2003) hep-ph/0210159
E Laermann,Pramana—J. Phys. 60, 687 (2003)
G Boydet al, Nucl. Phys. B469, 419 (1996)
M J Lavelle and M Schaden,Phys. Lett. B208, 419 (1988)
A Schäfer and M H Thoma,Phys. Lett. B451, 195 (1999)
M G Mustafa, A Schäfer and M H Thoma,Phys. Lett. B472, 402 (2000)
J Cleymans, J Fingberg and K Redlich,Phys. Rev. D35, 2153 (1987)
F Karsch, private communication
R Rapp and J Wambach,Adv. Nucl. Phys. 25, 1 (2000)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mustafa, M.G., Thoma, M.H. Can van Hove singularities be observed in relativistic heavy-ion collisions?. Pramana - J Phys 60, 711–723 (2003). https://doi.org/10.1007/BF02705170
Issue Date:
DOI: https://doi.org/10.1007/BF02705170
Keywords
- Perturbative quantum chromodynamics
- hard thermal loop
- gluon condensate
- quarkgluon plasma
- dispersion relation
- collective modes
- van Hove singularity
- relativistic heavy-ion collisions