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The Vlasov Type Kinetic Equation for Quarks
in Strong Gluon Field

A.V. Prozorkevich, S.A. Smolyansky, C.V. Ilyin and V.A. Kravchenko

Physics Department, Saratov State University, 410026, Saratov, Russia
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The Vlasov type quantum kinetic equation  for the quark subsystem in a strong 
quasiclassical gluon field was derived in the covariant single-time formalism \cite{1,2}.
As a result of spinor and color decompositions \cite{3}, the system of equations for 
corresponding projections of the Wigner function was obtained. 
The generalized reduction procedure of kinetic equations for vacuum quarks creation problem 
was suggested. A number of particular cases was discussed in details.

\begin{thebibliography}

\bibitem{1} I. Bialynicki-Birula, P. G\'ornicki and J. Rafelski, Phys. Rev., D 44, 1825 (1991).
\bibitem{2} A. Holl, V.G. Morozov and G. Repke, quant-ph/0106004 (2001).
\bibitem{3} S. Ochs and U. Heinz, Ann. Phys., v.266, 351 (1998).

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