Phenomenological approach to the critical dynamics of the QCD phase transition revisited

Abstract

The phenomenological dynamics of the QCD critical phenomena is revisited. Recently, Son and Stephanov claimed that the dynamical universality class of the QCD phase transition belongs to model H. In their discussion, they employed a time-dependent Ginzburg-Landau equation for the net baryon number density, which is a conserved quantity. We derive the Langevin equation for the net baryon number density, i.e., the Cahn-Hilliard equation. Furthermore, they discussed the mode coupling induced through the {\it irreversible} current. Here, we show the {\it reversible} coupling can play a dominant role for describing the QCD critical dynamics and that the dynamical universality class does not necessarily belong to model H.

13 pages, the Curie principle is discussed in S.2, to appear in J.Phys.G

References in corpus (5)

• Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
• Dynamic universality class of the QCD critical point
• Causal Diffusion and the Survival of Charge Fluctuations in Nuclear Collisions
• Enhancement of Critical Slowing Down in Chiral Phase Transition -- Langevin Dynamics Approach --
• Dynamic aspect of the chiral phase transition in the mode coupling theory

Cited by in corpus (9)

• Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory
• Microscopic Derivation of Causal Diffusion Equation using Projection Operator Method
• Extensivity of Irreversible Current and Stability in Causal Dissipative Hydrodynamics
• Domain Growth in Chiral Phase Transitions
• Domain Growth in Chiral Phase Transitions: Inertial Dynamics
• Overdamping Phenomena near the Critical Point in O($N$) Model
• Dynamics and Stability of Chiral Fluid
• Dynamic density correlations in a baryon rich fluid using Mori-Zwanzig-Nakjima projection operator method
• Dynamic nature at the QCD Critical End Point