Shear Viscosity Coefficient And Hydrodynamic Evolution Of Chemically Non-equilibrated QGP

One of the important goals of relativistic heavy ion collision experiments is to search for a new state of nuclear matter,the quark-gluon plasma(QGP). This new state is a deconfined quark and gluon system, which has a lot of new properties.Studies on the thermodynamic properties, and transport behaviors of QGP and the charac-ters and properties of the phase transition between the QGP phase and the hadron phase are important topics of quark matter physics. On the other hand,since QGP may be produced in the earlier stage of the high energy heavy ion collisions, and finally observed information in experiments are for hadronized hadronic matter after QGP evolution, the formation conditions of quark-gluon plasma in relativistic heavy ion collision, and the evolution of QGP, the signatures of QGP are also important topics of high-energy nuclear physics. It is believed that the hydrodynamics model can describe the space-time evolution of QGP system well. Quantum chromodynam-ics (QCD) at finite temperature and density are theoretical basics of quark matter physics.We first we briefly review the status of heavy-ion collision and quark matter physics. Then we introduce the basic theoretical knowledge about hydrodynamics and quantum field theory at finite temperature. Within the framework of real time finite temperature field theory, the propagators of Bosons and Fermions can be expressed in Keldysh Form. Using Hard Thermal Loops (HTL) re-summation, the resummed photon and electron propagators in Coulomb gauge are presented.Then we will present our studies on the shear viscosity of the chemical non-equilibrated QGP system. We calculated the shear viscosity for a non-equilibrated QGP system in relaxation time approximation by hard thermal loop resummation in real time formalism.We find that the chemical non-equilibrium parameters, namely the of gluons and quarks fugacities will increase the shear viscosity,'Using the obtained shear viscosity and 1+1 viscous hydrodynamics, we studied the time evolution information of the QGP system, for instance, temperature, energy density etc.We find that the viscosity will slow down the evolution of the temperture but the fugacities evolve faster than the ideal case.Via those information we obtained about the evolution of QGP, one can study the di-lepton production and thermal photons in QGP. This will be our future work.