[en] The collision term for a classical model of a quark plasma is found. By truncation of the color hierarchy, an approximation for the collision terms in a quantum model without allowance for spin is obtained

[en] Reduction is fulfilled of two stationary kinetic equations for a two-stream quark plasma (QP) in the Abelian dominance approximation to the nonlinear equations of the type of A₂-periodic chain, double sh-Gordon (with an elliptic operators). By means of solutions of the equations are obtained the QP initial characteristics: the distribution function and self-consistent field potential. 8 refs

[en] The classical limit of the exact quantum kinetic equation for quarks with spin is obtained on the basis of spinor decomposition. The quantum correction to the classical material equation is calculated in the case of the Abelian plasma

[en] The collision term (CT) for the classical model of a quark plasma are derived. On the basis of truncating color hierarchy the approximation for CT of the quantum model of quark plasma in semiclassical limit without spin is obtained. 14 refs

[en] The system of the transport quantum equations is obtained and their semiclassical limit is derived

[en] In general line with our first work , within hard thermal loop (HTL) approximation a general theory of the scattering for an arbitrary number of colorless plasmons off hard thermal particles of hot QCD-medium is considered. Using generalized Tsytovich correspondence principle, a connection between matrix elements of the scattering processes and a certain effective current, generating these processes is established. The iterative procedure of calculation of these matrix elements is defined, and a problem of their gauge-invariance is discussed. An application of developed theory to a problem of calculating energy losses of energetic color particle propagating through QCD-medium is considered. It is shown that for limiting value of the plasmon occupation number (∼1/g², where g is a strong coupling) energy losses caused by spontaneous scattering process of energetic particle off soft-gluon waves is of the same order in the coupling as other known losses type: collision and radiation ones. The Fokker-Planck equation, describing decceleration (acceleration) and diffusion in momentum space of beam of energetic color particles scattering off soft excitations of quark-gluon plasma (QGP), is derived

No abstract available

[en] The kinetic equation for longitudinal waves (plasmons) are obtained with an account of their interactions on the basis of the Yang-Mills equation and dynamic equations, describing the behaviour of the quark-gluon plasma in the quasiclassical limit. The gauge invariance of the defined Landau nonlinear attenuation decrement is proved through the Ward effective identities

[en] The physical mechanisms, determining the plasmon nonlinear scattering on the quark-gluon plasma particles, are analyzed. The problem on the relationship of the Landau nonlinear attenuation decrement of the longitudinal oscillations with attenuation decrement, obtained on the basis of approximation of the rigid temperature loops, is considered. It is shown that the part of the Landau nonlinear attenuation decrement on the mass surface, depending on gauge parameter, is equal to zero

[en] A connection between the deformed Duffin–Kemmer–Petiau (DKP) algebra and an extended system of the parafermion trilinear commutation relations for the creation and annihilation operators a${}_k^{\pm <!--\; ??\; -->}$ and for an additional operator a${}_0$ obeying para-Fermi statistics of order 2 based on the Lie algebra so(2M + 2) is established. An appropriate system of the parafermion coherent states as functions of para-Grassmann numbers is introduced. The representation for the operator a0 in terms of generators of the orthogonal group SO(2M) correctly reproducing action of this operator on the state vectors of Fock space is obtained. A connection of the Geyer operator a${}_0^2$ with the operator of so-called G-parity and with the CPT- operator ${\stackrel{^<!--\; ^\; -->}{\mathrm{\eta <!--\; ??\; -->}}}_5$ of the DKP-theory is established. In a para-Grassmann algebra a noncommutative, associative star product ∗ (the Moyal product) as a direct generalization of the star product in the algebra of Grassmann numbers is introduced. Two independent approaches to the calculation of the Moyal product ∗ are considered. It is shown that in calculating the matrix elements in the basis of parafermion coherent states of various operator expressions it should be taken into account constantly that we work in the so-called Ohnuki and Kamefuchi’s generalized state-vector space U${}_G$, whose state vectors include para-Grassmann numbers ξ${}_k$ in their definition, instead of the standard state-vector space U (the Fock space).