Color path-integral Monte Carlo simulations of quark-gluon plasma
V. S. Filinov, Yu. B. Ivanov, M. Bonitz, V. E. Fortov, P. R. Levashov

TL;DR
This paper introduces a novel color path-integral Monte Carlo method to simulate the thermodynamic properties of a strongly coupled quark-gluon plasma, accurately reproducing quantum chromodynamics data.
Contribution
It develops a new relativistic measure for the color path integral and a sampling procedure for SU(3) color variables, enhancing simulation accuracy.
Findings
Method reproduces quantum lattice QCD data.
Introduces a relativistic measure for color path integrals.
Provides a new sampling procedure for SU(3) color variables.
Abstract
Thermodynamic properties of a strongly coupled quark-gluon plasma (QGP) of constituent quasiparticles are studied by a color path-integral Monte Carlo simulations (CPIMC). For our simulations we have presented QGP partition function in the form of color path integral with new relativistic measure instead of Gaussian one used in Feynman and Wiener path integrals. For integration over color variable we have also developed procedure of sampling color variables according to the group SU(3) Haar measure. It is shown that this method is able to reproduce the available quantum lattice chromodynamics (QCD) data.
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