Non-equilibrium hydrodynamics of the quark-gluon plasma

Abstract

My dissertation is about the formulation and application of anisotropic hydrodynamics as a successful non-equilibrium hydrodynamics model for studying the QGP. For this purpose, I introduce the basic conformal anisotropic hydrodynamics formalism and then explain the ways we included realistic features (bulk degree of freedom, quasiparticle implementation of realistic equation of state, more realistic collisional kernel), to make it a suitable hydrodynamics model for studying the QGP generated in heavy-ion collisions. For verification of our model we have compared the evolution of model parameters predicted by aHydro and vHydro, with exact solution of the Boltzmann equation. However, the system is not conformal and the aHydro needed to be improved to include a realistic prescription for the equation of state which takes care of non-ideal effect in the dynamics. I have then designed a novel method for implementing the realistic equation of state (provided by lattice QCD) in the aHydro formalism. This model, called the quasiparticle aHydro model, integrates the non-conformal effects in the aHydro model. The non-conformal effects are due to strong interactions of plasma constituents which leads to temperature-dependence of the particles' effective mass in the system. Based on the quasiparticle picture, we have developed the quasiparticle aHydro (aHydroQP) model. We have then compared the phenomenological predictions of the aHydroQP model with experimental observations. Comparisons illustrate a high level of consistency between our model and the experimental data. Finally, I have calculated the quark self-energy in an anisotropic QGP. The quark self-energy is important because it encodes the way quarks gain interactional mass while in the hot QGP. I also have presented the calculation of gluon self-energy in hard loop approximation in an anisotropic QGP.

186 pages total, with 168 pages body of dissertation

References in corpus (18)

• Color superconductivity in dense quark matter
• The QCD equation of state with dynamical quarks
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Some Features of the Glasma
• Dissipative Dynamics of Highly Anisotropic Systems
• Multi-particle azimuthal correlations in p-Pb and Pb-Pb collisions at the CERN Large Hadron Collider
• A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
• The heavy-quark potential in an anisotropic plasma
• Instabilities of an anisotropically expanding non-Abelian plasma: 1D+3V discretized hard-loop simulations
• The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
• Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation
• Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations
• Ultraviolet avalanche in anisotropic non-Abelian plasmas
• Bulk viscous evolution within anisotropic hydrodynamics
• Potential Models for Quarkonia
• Fermionic Collective Modes of an Anisotropic Quark-Gluon Plasma
• Leading-order anisotropic hydrodynamics for systems with massive particles
• Quark self-energy in an ellipsoidally anisotropic quark-gluon plasma