Abstract

Based on the constituent quasiparticle model of the quark-gluon plasma (QGP), the Wigner function is presented in the form of a color path integral. The Monte Carlo calculations of the quark and gluon densities, pair correlation functions and the momentum distribution functions for strongly coupled QGP plasma in thermal equilibrium at barion chemical potential equal to zero have been carried out. Analysis of the pair correlation functions points out on arising glueballs and related gluon bound states. Comparison results between the momentum distribution functions and Maxwell-Boltzmann distributions show the significant influence of the interparticle interaction on the high energy asymptotics of the momentum distribution functions resulting in the appearance of quantum “tails”.

Highlights

  • Studying the quark-gluon plasma (QGP) is nowadays one of the most important goals in high-energy physics

  • Comparison results between the momentum distribution functions and Maxwell-Boltzmann distributions show the significant influence of the interparticle interaction on the high energy asymptotics of the momentum distribution functions resulting in the appearance of quantum “tails”

  • Experiments at the Relativistic Heavy-Ion Collider (RHIC) at Brookhaven National Laboratory [1] and the Large Hadron Collider (LHC) at CERN have provided a wealth of data

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Summary

Introduction

Studying the quark-gluon plasma (QGP) is nowadays one of the most important goals in high-energy physics. Kinetic theory for the QGP can be formulated in two ways, namely: the color degrees of freedom are treated quantum mechanically and the distribution function of plasma constituents is a matrix in color space; in the second approach, on the other hand, the color may be considered as a continuous classical variable [5]. We use the latter approach that describes a particle carrying a classical color charge interacting with the chromodynamic field. The main goal of this work is to calculate the quark and gluon pair distribution functions and momentum distribution functions and to treat influence of the strong interparticle interaction on these quantities

Basics of the Model
The Wigner Function for Canonical Ensemble
Harmonic and Linear Approximation for the Wigner Function
Simulation of QGP
The QGP Mometum Distribution Functions
Conclusion
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