# QM 2011 - XXII International Conference on Ultrarelativistic Nucleus-Nucleus Collisions

May 22 – 28, 2011
Centre Bonlieu
Europe/Zurich timezone

## Dynamics near QCD critical point by dynamic renormalization group

Not scheduled
Théâtre National (Centre Bonlieu)

### Théâtre National

#### Centre Bonlieu

France
Board: 87
Poster Correlations and fluctuations

### Speaker

Dr Yuki Minami (Japan)

### Description

We study the critical dynamics near QCD critical point (CP) by dynamic renormalization group (RG). As a basic equation for the critical dynamics, we construct the nonlinear Langevin equation, which is a standard dynamic equation for a CP in condensed matter physics. Our onstruction is based on the generalized Langevin equetion and the relativistic hydrodynamics. Applying the dynamic RG to the constructed equation, we derive the RG equation for the transport coefficients and obtain their critical exponents. We find that the resulting RG equation turns out to be the same as that for the liquid-gas CP, alhough the Langevin equations for the two critical points are different. 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. In contrast, the sound mode shows critical speeding up. Reference Y.Minami arXiv:1102.5485 [hep-ph]

### Primary author

Dr Yuki Minami (Japan)

### Presentation materials

There are no materials yet.