Dynamics near QCD critical point by dynamic renormalization group

Journal Article · Sun May 01 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.094019· OSTI ID:21541606

Minami, Yuki ^[1]

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1. Department of Physics, Kyoto University, Kyoto 606-8502 (Japan)

We work out the basic analysis on dynamics near the QCD critical point (CP) by the dynamic renormalization group (RG). In addition to the RG analysis by coarse-graining, we construct the nonlinear Langevin equation as a basic equation for the critical dynamics. Our construction is based on the generalized Langevin theory and the relativistic hydrodynamics. Applying the dynamic RG to the constructed equation, we derive the RG equation for the transport coefficients and analyze their critical behaviors. We find that the resulting RG equation turns out to be the same as that for the liquid-gas CP except for an insignificant constant. Therefore, the bulk viscosity and the thermal conductivity strongly diverge at the QCD CP. We also show that the thermal and viscous diffusion modes exhibit critical slowing down with the dynamic critical exponents z{sub thermal}{approx}3 and z{sub viscous}{approx}2, respectively. In contrast, the sound propagating mode shows critical speeding up with the negative exponent z{sub sound}{approx}-0.8.

• OSTI ID: 21541606
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 9; Other Information: DOI: 10.1103/PhysRevD.83.094019; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFUSION
HYDRODYNAMICS
LANGEVIN EQUATION
NONLINEAR PROBLEMS
QUANTUM CHROMODYNAMICS
RELATIVISTIC RANGE
RENORMALIZATION
SLOWING-DOWN
SOUND WAVES
THERMAL CONDUCTIVITY
VISCOSITY
ENERGY RANGE
EQUATIONS
FIELD THEORIES
FLUID MECHANICS
MECHANICS
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
THERMODYNAMIC PROPERTIES