Vladimir Filinov
Joint Institute for High Temperatures-Russian Academy of Sciences, Russia
Title: Quantum simulation of thermodynamic and transport properties of the quark gluon plasma
Biography
Biography: Vladimir Filinov
Abstract
For quantum simulations of thermodynamic and transport properties of the quark-gluon plasma (QGP) within a unified approach, we combine Path Integral and Wigner (phase space) formulations of quantum mechanics. Thermodynamic properties of a strongly coupled QGP of constituent quasi-particles are studied by means of color path integral Monte-Carlo simulations (CPIMC). For the purpose of simulations we have presented the QGP partition function in the form of a color path integral with a new relativistic measure instead of the usual Gaussian one used in Feynman and Wiener path integrals. For the integration over the color degree of freedom we have developed a sampling procedure according to the SU(3) Haar measure. It is shown that this method is able to reproduce the available Lattice Quantum Chromodynamics (LQCD) data describing the deconfined phase of QGP. Canonically averaged two-time quantum operator correlation functions and related kinetic coefficients have been calculated according to the quantum Kubo formulas. In this approach, CPIMC is used not only for the calculation of thermodynamic functions, but also to provide equilibrium initial conditions (i.e. specific coordinates, momenta, spin, flavor and color of quasi-particle configurations) in order to accomplish generation of the color-phase-space trajectories as solutions of related dynamic differential equations. Correlation functions and kinetic coefficients are calculated as averages of related Weyl's symbols of dynamic operators along these trajectories. Using this approach we have calculated the diffusion coefficient and the shear viscosity in a good agreement with experimental data.