Fully nonlinear excitations of non-Abelian plasmas

We investigate fully nonlinear, non-Abelian excitations of quark-antiquark plasma using relativistic fluid theory in cold plasma approximation. There are mainly three important nonlinearities, coming from various sources such as non-Abelian interactions of Yang-Mills (YM) fields, Wong's color dynamics, and plasma nonlinearity, in our model. By neglecting nonlinearities due to plasma and color dynamics we obtain the earlier results of J. P. Blaizot and E. Iancu [Phys. Rev. Lett. 72, 3317 (1994)]. Similarly, by neglecting YM field nonlinearity and plasma nonlinearity, the model reduces to the model of S. S. Gupta, P. K. Kaw, and J. C. Parikh [Phys. Lett. B498, 223 (2005)]. Thus we have the most general non-Abelian mode of quark-gluon plasma. Further, our model resembles the model of laser propagation through relativistic plasma [P. K. Paw, A. Sen, and E. J. Valeo, Physica 9D, 96 (1983)] in the absence of all non-Abelian interactions