Color Correlations In The Quark-Gluon Plasma

In this article, the color correlations are studied in using statistical dynamicsof correlated particles. The equation that the two-particles correlation function ofquarks satisfies is derived for the quark-gluon plasma in which only the chromoelectricinteraction is counted . An solution for two-particles correlation functions are obtainedin the case of semi-equilibrium. By one using the correlation functions, the physicalproperties of the two-particles color correlations are simply discussed.First, the quark quantum transport equation in semiclassical limit for QGP is re-viewed. Then, the equation that two-particles Wigner operator satisfies is built up, andthe semiclassical form of the equation is obtained. Ignoring spin effects, in the casethat there is only chromoelectric interaction among quarks in the system, we obtaintwo equations for just single-particle Wigner operator and two-particles Wigner oper-ator. Being ensemble averaged, the Wigner operator become the Wigner function. Inpolarization approximation, by three-particles correlation functions being ignored, thecoupled equations only for single-particle Wigner function and two-particles Wignerfunction are closed. The former of the two is the transport equation, whose colli-sion term is defined by interaction and correlation; the second equation is the one thattwo-particles Wigner function containing correlation function satisfies.Using the transport equation and the equation the two-particles Wigner functionsatisfies, we obtain the equation that the two-particle correlation function satisfies. Inthe case that the system is not far away from equilibrium, using the solution operatorfor linear Vlasov equation, we get the integral solution for two-particles correlationfunction. Putting the solution for two-particles correlation function into collision term,we obtain the Balescu-Lenard collision term. At the same time, with further comput-ing, we get the embodied formulation for correlation function, and the two-particlescorrelation is discussed respectively when the potential is Coulomb and is linear.