Coherent amplification of classical pion fields during the cooling of droplets of quark plasma

Abstract

In the framework of the linear sigma model, we study the time evolution of a system of classical $\sigma$ and pion fields coupled to quarks. For this purpose we solve numerically the classical transport equation for relativistic quarks coupled to the nonlinear Klein-Gordon equations for the meson fields. We examine evolution starting from variety of initial conditions corresponding to spherical droplets of hot quark matter, which might mimic the behaviour of a quark plasma produced in high-energy nucleus-nucleus collisions. For large droplets we find a strong amplification of the pion field that oscillates in time. This leads to a coherent production of pions with a particular isospin and so would have similar observable effects to a disoriented chiral condensate which various authors have suggested might be a signal of the chiral phase transition. The mechanism for amplification of the pion field found here does not rely on this phase transition and is better thought of as a "pion laser" which is driven by large oscillations of the $\sigma$ field.

12 TeX pages + 20 postscript figures, psfig style

References in corpus (7)

• Analytic and Numerical Study of Preheating Dynamics
• Time evolution of the chiral phase transition during a spherical expansion
• Amplification of pionic instabilities in high-energy collisions?
• Statistical Properties of the Linear Sigma Model
• Relativistic Kinetic Equations for Electromagnetic, Scalar and Pseudoscalar Interactions
• Shell-like Structures in an expanding Quark-Antiquark Plasma
• Comment on ``Relativistic kinetic equations for electromagnetic, scalar and pseudoscalar interactions''

Cited by in corpus (21)

• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• Chiral transition in a strong magnetic background
• Nonequilibrium chiral fluid dynamics including dissipation and noise
• Pion Production from Baked-Alaska Disoriented Chiral Condensate
• Chiral transition in a finite system and possible use of finite size scaling in relativistic heavy ion collisions
• Hydrodynamics Near a Chiral Critical Point
• Chiral fluid dynamics with explicit propagation of the Polyakov loop
• First-Order Chiral Phase Transition in High-Energy Collisions: Can Nucleation Prevent Spinodal Decomposition?
• Chiral Fluid Dynamics and Collapse of Vacuum Bubbles
• CP violation and chiral symmetry restoration in the hot linear sigma model in a strong magnetic background
• First-order chiral phase transition may naturally lead to the ``quenched'' initial condition and strong soft-pion fields
• Non-Equilibrium Production of Photons via π^0\to 2γin DCC's
• Thermal chiral and deconfining transitions in the presence of a magnetic background
• Nonperturbative Yukawa theory at finite density and temperature
• Hydrodynamical instabilities in an expanding quark gluon plasma
• Dissipative hydrodynamics coupled to chiral fields
• Disoriented chiral condensate formation from tubes of hot quark plasma
• Nonlinear evolution of the momentum dependent condensates in strong interaction: the ``pseudoscalar laser''
• Effects from inhomogeneities in the chiral transition
• Chiral Phase Transition in an Expanding Quark System
• Search for fingerprints of disoriented chiral condensates in cosmic ray showers