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• W2136461934 abstract "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 ${z}_{mathrm{thermal}}ensuremath{sim}3$ and ${z}_{mathrm{viscous}}ensuremath{sim}2$, respectively. In contrast, the sound propagating mode shows critical speeding up with the negative exponent ${z}_{mathrm{sound}}ensuremath{sim}ensuremath{-}0.8$." @default.
• W2136461934 created "2016-06-24" @default.
• W2136461934 creator A5012509430 @default.
• W2136461934 date "2011-05-13" @default.
• W2136461934 modified "2023-10-03" @default.
• W2136461934 title "Dynamics near QCD critical point by dynamic renormalization group" @default.
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• W2136461934 doi "https://doi.org/10.1103/physrevd.83.094019" @default.
• W2136461934 hasPublicationYear "2011" @default.
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