Critical Opalescence around the QCD Critical Point and Second-order Relativistic Hydrodynamic Equations Compatible with Boltzmann Equation

Abstract

The dynamical density fluctuations around QCD critical point (CP) are analyzed using relativistic dissipative fluid dynamics, and we show that the sound mode around the QCD CP is strongly attenuated whereas the thermal fluctuation stands out there. We speculate that if possible suppression or disappearance of a Mach cone, which seems to be created by the partonic jets at RHIC, is observed as the incident energy of the heavyion collisions is decreased, it can be a signal of the existence of the QCD CP. We have presented the Israel-Stewart type fluid dynamic equations that are derived rigorously on the basis of the (dynamical) renormalization group method in the second part of the talk, which we omit here because of a lack of space.

Typos are corrected. Figures are replaced with the correct ones, and the figure captions are rewritten accordingly. 4 pages, 1 figure. To appear in the conference proceedings for Quark Matter 2009, March 30 - April 4, Knoxville, Tennessee

References in corpus (5)

• Dynamic universality class of the QCD critical point
• Indications of Conical Emission of Charged Hadrons at the BNL Relativistic Heavy Ion Collider
• Stable First-order Particle-frame Relativistic Hydrodynamics for Dissipative Systems
• Dynamical Density Fluctuations around QCD Critical Point Based on Dissipative Relativistic Fluid Dynamics-possible fate of Mach cone at the critical point-
• Second-order Relativistic Hydrodynamic Equations for Viscous Systems; how does the dissipation affect the internal energy?

Cited by in corpus (3)

• QCD Phase Diagram: Phase Transition, Critical Point and Fluctuations
• Functional renormalization group analysis of the soft mode at the QCD critical point
• Dynamical Density Fluctuations around QCD Critical Point Based on Dissipative Relativistic Fluid Dynamics-possible fate of Mach cone at the critical point-