Chiral Phase Transition in an Expanding Quark System

Abstract

We investigate the influence of chiral symmetry which varies along the space-time evolution of the system by considering the chiral phase transition in an non-equilibrium expanding quark-antiquark system. The chiral symmetry is described by the mean field order parameter, whose values is the solution of a self-consistent equation, and affects the space-time evolution of the system through the force term in the Vlasov equation. The Vlasov equation and the gap equation are solved concurrently and continuously for a longitudinal boost-invariant and transversely rotation-invariant system. This numerical framework enables us to carefully investigate how the phase transition and collision affect the evolution of the system. It is observed that the chiral phase transition gives rise to a kink in the flow velocity, which is caused by the force term in the Vlasov equation. The kink is enhanced by larger susceptibility and tends to be smoothed out by non-equilibrium effect. The spatial phase boundary appears as a "wall" for the quarks, as the quarks with low momentum are bounced back, while those with high momentum go through the wall but are slowed down.

arXiv comment14 pages, 8 figures

References in corpus (34)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• QCD Phenomenology based on a Chiral Effective Lagrangian
• Signatures of the Tricritical Point in QCD
• Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Non-Gaussian fluctuations near the QCD critical point
• The Phase Structure of the Polyakov--Quark-Meson Model
• Dynamics of Symmetry Breaking and Tachyonic Preheating
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• A new method to study lattice QCD at finite temperature and chemical potential
• Energy Dependence of Moments of Net-proton Multiplicity Distributions at RHIC
• On the sign of kurtosis near the QCD critical point
• Search for the QCD Critical Point with Fluctuations of Conserved Quantities in Relativistic Heavy-Ion Collisions at RHIC : An Overview
• Higher Moments of Net-proton Multiplicity Distributions at RHIC
• Slowing Out of Equilibrium Near the QCD Critical Point
• Chiral Phase Transition within Effective Models with Constituent Quarks
• The phase structure of the Polyakov--quark-meson model beyond mean field
• Nonequilibrium Quantum Dynamics Of Disoriented Chiral Condensates
• How to Make Large Domains of Disoriented Chiral Condensate
• Relativistic Quantum Transport Theory for Electrodynamics
• Beam-Energy Dependence of Directed Flow of $\Lambda$, $\bar{\Lambda }$, $K^{\pm }$, $K_s^0$ and $\varphi$ in Au+Au Collisions
• Examination of directed flow as a signature of the softest point of the equation of state in QCD matter
• Equal-Time Hierarchies for Quantum Transport Theory
• Equal-Time Hierarchies in Quantum Transport Theory
• Chiral phase transition in an expanding quark antiquark plasma
• Search for the QCD Critical Point by Higher Moments of Net-proton Multiplicity Distributions at STAR
• Relativistic Kinetic Equations for Electromagnetic, Scalar and Pseudoscalar Interactions
• Coherent amplification of classical pion fields during the cooling of droplets of quark plasma
• Shell-like Structures in an expanding Quark-Antiquark Plasma
• Out-of-equilibrium chiral and $U_A(1)$ symmetry breaking in electromagnetic fields
• Kinetics of the chiral phase transition in a linear $\sigma$ model
• Deconfinement Phase Transition in an Expanding Quark system in Relaxation Time Approximation
• Dynamics of the chiral phase transition
• Nonequilibrium dynamics and transport near the chiral phase transition of a quark-meson model