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Transport equations and features of the long-wavelength oscillation of the quark-gluon plasma
Phys. Rev. D 41, 634 – Published 15 January, 1990
DOI: https://doi.org/10.1103/PhysRevD.41.634
Abstract
We formulate the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy of kinetic equations for a quark-gluon plasma. Assuming a Bose-Einstein distribution for the equilibrium distribution of hot gluons and ghosts and the Fermi distribution for the equilibrium distribution of hot quarks, we solve those kinetic equations in the mean-field limit and obtain the dispersion relation in the order . We find that, contrary to this above assumption, the state of noninteracting quarks and gluons is unstable; i.e., the damping constant of the color oscillations is negative. We argue that the nonperturbative effects at the scale make the perturbative approximation to the equilibrium distribution of hot quarks and gluons inconsistent with the kinetic equations already at the lowest, nontrivial order .
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