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Research of Kinetic Theory in Quark-Gluon Plasma

Author: ZhouYunQing
Tutor: LiJiaRong
School: Central China Normal University
Course: Theoretical Physics
Keywords: The quark dice plasma (QGP) Near-equilibrium Distribution function Power theory Relativistic Heavy Ion Collisions Relativistic hydrodynamics Relaxation time approximation Collision term Local equilibrium Local fluid four speed Transport coefficients Tangential station hysteresis factor . Nonlinear Non-Abelian
CLC: O572.21
Type: Master's thesis
Year: 2003
Downloads: 40
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Abstract

The physics of the quark - gluon plasma (QGP) is one of the important object of study in today's high-energy physics, QGP generation and evolution mechanism, it has been carried many and made many valuable ideas. The basic method of research QGP finite temperature field theory, power theory and phenomenological method, where the momentum theory can describe the thermodynamic equilibrium, but also to describe the non-equilibrium statistical theory. QCD obey by the the QGP power on ingredients of the equation is a system of particles (quarks and anti-quarks and gluons) as a the kinetic foundation, set up the general framework of the statistical theory, now widely used in discussion of the physical properties of QGP and to confirm the level of the \Usually considered QGP in relativistic heavy ion collisions generated initially in a non-equilibrium state, and therefore should be used to study it in non-equilibrium statistical mechanics. According to statistical mechanics, the crux of the problem is to find the distribution function, with the distribution function and other physical quantities can be obtained using a standard method. But even from the starting the QGP power theory, is also very difficult to find a non-equilibrium distribution function. Noted QGP fluctuation in color gT level, with the derivative method discussed many of the properties of the QGP. Chapter III of this paper, we assume that the QGP color which color fluctuation in non-equilibrium, but due to the the Color Field Fluctuations limited gT level is a small amount, thus the system will not be far from equilibrium, and should be in near balance. This step by step to get near-equilibrium distribution function using the derivative method. This chapter attempts from QGP power theory equation using the relaxation time of the collision term approximation obtained by approximate methods at all levels of correction, thus obtained to the corresponding distribution function. By numerical dteedfy Master halo bit papers Hudson. i. The ~ H cited eight u factory Su1nK analysis focuses on the characteristics of the distribution function in the case of high-temperature low-density QGP component particles: in any given single-particle energy. The difference of the distribution function under near equilibrium quark distribution function value is larger than the value of the corresponding quark distribution function in equilibrium, and the higher the temperature, the two states (ie, near-equilibrium and equilibrium) will be greater. There are significant differences in the vicinity of the Fermi surface, the two distribution functions. When the relaxation time of the system becomes large, quark distribution function changes with the energy curve conference shift, the shift means that if the system needs a larger relaxation time to reach equilibrium, the quark distribution function in near equilibrium with the corresponding equilibrium state quark distribution function differences, and thus more difficult to achieve equilibrium. The near equilibrium gluon distribution function in the energy dependence of the curve deviates from the glue in the equilibrium distribution function in the energy dependence of the curve, the higher the temperature, the deviation from the trend more obvious; When the temperature is constant, the energy of the smaller deviation from the greater. When the relaxation time of the system becomes large, quark distribution function changes with the energy curve Down, Down means if the system requires larger relaxation time to reach equilibrium, the quark distribution function in the near equilibrium with the corresponding balance state quark distribution function differences, and thus more difficult to achieve equilibrium. Finally obtained by the distribution function of the density and energy density of the net baryon found that density and energy density of the obtained net baryon phenomenological learned estimate is consistent in magnitude. Chapter taking into account that QGP experiment in the initial nonequilibrium state, but has a rich picture of physical equilibrium transport phenomena is one of great significance, therefore, the calculation of the transport coefficients. We are still starting from the the QGP half the theory of classical dynamical equations take the collision term in the relaxation time approximation, but different from the third chapter is assumed that the system is near local equilibrium, obtained through the use of statistical mechanics, energy-momentum tensor and The fluid mechanics energy-momentum tensor is calculated by comparing the quarks and gluons cut viscosity coefficient. The analysis revealed that the cut to one and two amendments to the viscosity coefficient of linear class Abel, cut to three and more advanced correction to the viscosity coefficient is non-linear non-Abelian. 2 ----- ---- Keywords quark dice plasma (QGP); near equilibrium; distribution function; momentum theory; relativistic heavy ion collisions; relativistic hydrodynamics; relaxation time approximation; collision term; Local Equilibrium ; the local fluid four speed; transport coefficients; tangential stations lag coefficient; nonlinear; non-Abelian

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