Viscous hydrodynamics relaxation time from AdS/CFT correspondence
Viscous hydrodynamics relaxation time from AdS/CFT correspondence
复制标题
AdS/CFT 对应的粘性流体动力学弛豫时间
DOI：
10.1103/physrevd.76.025027
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发表时间：
2007
影响因子：
5
通讯作者：
R. Janik
中科院分区：
文献类型：
--
作者：
M. Heller;R. Janik
利用ADS/CFT对数论中的{N}=4元超杨-米尔斯理论，研究了强耦合条件下扩展的Boost不变等离子体。我们确定了二阶粘性流体力学中的松弛时间，发现它比弱耦合预期的松弛时间短约30倍。我们发现弦框架中对偶几何的非奇异性需要开启伸缩子，从而导致$\mathm{tr}{F}^{2}$的非零期望值表现为${\ensuremath{\tau}}^{\ensuremath{-}10/3}$。
We consider an expanding boost-invariant plasma at strong coupling using the AdS/CFT correspondence for $\mathcal{N}=4$ super Yang-Mills theory. We determine the relaxation time in second order viscous hydrodynamics and find that it is around 30 times shorter than weak coupling expectations. We find that the nonsingularity of the dual geometry in the string frame necessitates turning on the dilaton which leads to a nonvanishing expectation value for $\mathrm{tr}{F}^{2}$ behaving like ${\ensuremath{\tau}}^{\ensuremath{-}10/3}$.