Abstract
On the way towards a dynamical description of quark-gluon plasma (QGP) generated in heavy ion collisions, we have to take care of both gauge theoretical and non-equilibrium problems. We present a reformulation of Wigner-operators and their quantum kinetic equations with emphasis on the idea of physical phase space. We show how to separate the dynamical contents of these equations from purely gauge theoretic information which can be eliminated by a suitable choice of gauge. This provides the basis for a systematic semiclassical expansion which is compatible with standard QCD perturbation theory. We also establish and discuss ‘linear’ kinetic equations on an equal footing with the so far more familiar ‘quadratic’ ones.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H.-T. Elze, U. Heinz: Phys. Rep. 183 (1989) 81
E. Wigner: Phys. Rev. 40 (1932) 749
U. Heinz: Phys. Rev. Lett. 51 (1983) 351; 56 (1986) 93(C); Ann. Phys. (NY) 161 (1985) 48
H.-T. Elze, M. Gyulassy, D. Vasak: Nucl. Phys. B276 (1986) 706
H.-T. Elze, M. Gyulassy, D. Vasak: Phys. Lett. B177 (1986) 402; H.-T. Elze, Z. Phys. C — Particles and Fields 38 (1988) 211
S.R. de Groot, W.A. van Leeuwen, Ch.G. van Weert: Relativistic kinetic theory, Amsterdam: North-Holland 1980
Thermal field theories and their applications, K. Kowalski, N. Landsman, Ch. van Weert, (eds.), Physica A158 (1989), Chaps. 2, 3
H.-T. Elze: CERN preprint CERN-TH.5574/89
J. Winter: J. Phys. C6 (1984) C6–52
D. Vasak, M. Gyulassy, H.-T. Elze: Ann. Phys. (NY) 173 (1987) 462
H. Weigert: diploma thesis, Universität Regensburg 1989
C. Cronström: Phys. Lett. B90 (1980) 267 and references cited therein
B. O'Neill: Semi riemannian geometry with applications to relativity. New York: Academic Press 1983; C. Misner, K. Thorne, J. Wheeler: Gravitation, San Francisco: Freeman 1970; and other textbooks on differential geometry
U. Heinz, K. Kajantie, T. Toimela: Ann. Phys. (NY) 176 (1987) 218
J. Kapusta, T. Toimela: Phys. Rev. D39 (1989) 3197
D. Bleeker: Gauge theory and variational principles. Reading: Addison-Wesley 1981
U. Heinz, J.C. Parikh: in preparation
W. Kummer, J. Weiser: Z. Phys C — Particles and Fields 31 (1986) 105
A.V. Selikhov: I.V. Kurchatov Institute of Atomic Energy preprint IAE-4733/1, submitted to Nucl. Phys. B
H. Weigert, U. Heinz: to be published
Author information
Authors and Affiliations
Additional information
Work supported by Deutsche Forschungsgemeinschaft (DFG), grant He1283/3-1
Rights and permissions
About this article
Cite this article
Weigert, H., Heinz, U. Kinetic equations for the quark-gluon plasma and their semiclassical expansion. Z. Phys. C - Particles and Fields 50, 195–203 (1991). https://doi.org/10.1007/BF01474074
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01474074