Nonlinear Eigenfrequency Shift of QGP Including the Gluon Self-Coupling

CHEN JiSheng; LI JiaRong

Chinese Physics C> 2000, Vol. 24> Issue(12) : 1149-1156

Nonlinear Eigenfrequency Shift of QGP Including the Gluon Self-Coupling

CHEN JiSheng ,
LI JiaRong ^,

Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China

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Abstract：
The derivative expansion method is used to solve the kinetic equations of quark-gluon plasma. In the process of solution, we find that the self-interaction term of the mean field equation plays an important role to the nonlinear eigenfrequency shift of the non-Abelian excitations in quarkgluon plasma. To the third order of derivative expansion, we get the general analytical expression of nonlinear frequency shift including the self-interaction in the leading order of coupling constant and give out the value of eigenfrequency shift for the pure gluon plasma to the important k=0 modes.

References

[1]

Heinz U. Phys. Rev. Lett., 1983, 51: 351; 1986, 56: 93; Ann. Phys., 1985, 161: 48; Elze H–Th, Heinz, U.Phys. Rep., 1989, 183:81; Mrowczynski S. Phys. Rev., 1989, D39: 19402 Kelly P F, LIU Q, Lucchesi C. Phys. Rev., 1994, D50:4209 3 ZHANG XiaoFei, LI JiaRong. Phys. Rev., 1995, C52:964; CHEN JiSheng, LI JiaRong. Phys. Lett., 1998, B430:209 4 Markov Y A, Markova, R A. hep–ph/99023975 ZHANG XiaoFei, LI JiaRong. J. Phys., 1995, G21: 14836 Braaten E, Pisarski, R D. Nucl. Phys., 1990, B337:569; Nucl. Phys., 1990, B339:310 7 Blaizot J–P, Iancu E. Nucl. Phys., 1994, B417:608; 1994 B421:565; 1995, B434:6628 Lifshitz E, Pitaevskii L. Physical Kinetics, Pergamon Press. Oxford, 1981, 2149 Sitenko, A G. Fluctuations and Nonlinear Wave Interactions in Plasmas, Pergamon. Oxford, 1990, 137

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CHEN JiSheng and LI JiaRong. Nonlinear Eigenfrequency Shift of QGP Including the Gluon Self-Coupling[J]. Chinese Physics C, 2000, 24(12): 1149-1156.

CHEN JiSheng and LI JiaRong. Nonlinear Eigenfrequency Shift of QGP Including the Gluon Self-Coupling[J]. Chinese Physics C, 2000, 24(12): 1149-1156. shu

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Received: 1999-11-15
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Nonlinear Eigenfrequency Shift of QGP Including the Gluon Self-Coupling

CHEN JiSheng
LI JiaRong ^,

Corresponding author: LI JiaRong,

Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China

Received Date: 1999-11-15
Accepted Date: 1900-01-01
Available Online: 2000-12-05

Abstract: The derivative expansion method is used to solve the kinetic equations of quark-gluon plasma. In the process of solution, we find that the self-interaction term of the mean field equation plays an important role to the nonlinear eigenfrequency shift of the non-Abelian excitations in quarkgluon plasma. To the third order of derivative expansion, we get the general analytical expression of nonlinear frequency shift including the self-interaction in the leading order of coupling constant and give out the value of eigenfrequency shift for the pure gluon plasma to the important k=0 modes.