Chen, Ji-Sheng; Li, Jia-Rong; Zhuang, Peng-Fei Non-abelian medium effects in quark-gluon plasma. (English) Zbl 1027.81037 Int. J. Mod. Phys. A 17, No. 10, 1435-1447 (2002). Based on the kinetic theory of chromodynamics, the non-Abelian medium property of the hot quark-gluon plasma is investigated. The nonlinearity of the plasma is caused by two reasons, by the nonlinear wave-wave interaction and by the self-interaction of the color field. Using the collisionless Vlasov kinetic equations, the induced color currents up to third order are obtained. Then from the color field equation, including both the nonlinear wave-wave interaction and the self-coupling term, the non-Abelian color permittivity is calculated. As an application, the nonlinear Landau damping rate and the nonlinear eigenfrequency shift are found in the limit of long wavelengths. Reviewer: Claudia-Veronika Meister (Potsdam) MSC: 81V05 Strong interaction, including quantum chromodynamics 82D10 Statistical mechanics of plasmas Keywords:hot quark-gluon plasma; medium effects; kinetic theory; chromodynamics; Vlasov kinetic equations PDFBibTeX XMLCite \textit{J.-S. Chen} et al., Int. J. Mod. Phys. A 17, No. 10, 1435--1447 (2002; Zbl 1027.81037) Full Text: DOI arXiv References: [1] DOI: 10.1103/PhysRevLett.51.351 · doi:10.1103/PhysRevLett.51.351 [2] Mrówczyński S., Phys. Rev. 39 pp 1940– (1989) · doi:10.1103/PhysRevB.39.1940 [3] DOI: 10.1103/PhysRevLett.70.3376 · doi:10.1103/PhysRevLett.70.3376 [4] Kelly P. F., Phys. Rev. 50 pp 4209– (1994) [5] DOI: 10.1016/0370-2693(93)90341-E · doi:10.1016/0370-2693(93)90341-E [6] DOI: 10.1016/S0370-2693(98)00279-2 · doi:10.1016/S0370-2693(98)00279-2 [7] DOI: 10.1103/PhysRevLett.82.4981 · doi:10.1103/PhysRevLett.82.4981 [8] Arnold P., Phys. Rev. 59 pp 105020– (1999) · doi:10.1103/PhysRevB.59.334 [9] DOI: 10.1016/S0550-3213(99)00341-7 · doi:10.1016/S0550-3213(99)00341-7 [10] DOI: 10.1016/0550-3213(94)90079-5 · doi:10.1016/0550-3213(94)90079-5 [11] Wang X.-N., Phys. Rev. 51 pp 3436– (1995) [12] Koike Y., Phys. Rev. 45 pp 3237– (1992) [13] DOI: 10.1080/00411459908214522 · Zbl 0976.82047 · doi:10.1080/00411459908214522 [14] DOI: 10.1016/S0370-2693(97)00849-6 · doi:10.1016/S0370-2693(97)00849-6 [15] Zhang X.-F., Phys. Rev. 52 pp 964– (1995) [16] DOI: 10.1142/S0217732300002309 · doi:10.1142/S0217732300002309 [17] DOI: 10.1016/S0370-2693(98)00544-9 · doi:10.1016/S0370-2693(98)00544-9 [18] DOI: 10.1103/PhysRevLett.68.2891 · doi:10.1103/PhysRevLett.68.2891 [19] DOI: 10.1016/0550-3213(90)90508-B · doi:10.1016/0550-3213(90)90508-B This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.