arXiv 0906.44232009-06hep-thhep-phnucl-th

来自AdS/CFT的提升不变早期动力学

Boost-invariant early time dynamics from AdS/CFT

Guillaume Beuf, Michal P. Heller, Romuald A. Janik, Robi Peschanski

备注：: 25 pages; ver2: minor typos fixed, literature added, matches the published version
发表信息：: JHEP 0910:043,2009
DOI：: 10.1088/1126-6708/2009/10/043

摘要：

利用AdS/CFT对应方法研究了强耦合共形等离子体在早本征时间区的助推不变动力学。它示出，在与后期的扩展，缩放的解决方案不存在。在这个制度中的边界动力学依赖于初始条件编码的体积行为的Festhiman-Graham度规系数在初始适当的时间。提供了早期膨胀的能量密度和初始条件之间的关系。作为一般性结果，证明了Festhiman-Graham框架中某个度量系数的奇异性始终存在。要求在τ = 0处的这个奇点仅仅是没有曲率爆破的坐标奇点，给出了对可能的边界动力学的约束。使用一个简单的Pade remation满足正则性约束的解决方案，过渡到局部平衡的功能，从而流体动力学后期制度，已被观察到。本研究的热化问题的影响进行了讨论。

英文摘要：

Boost-invariant dynamics of a strongly-coupled conformal plasma is studied in the regime of early proper-time using the AdS/CFT correspondence. It is shown, in contrast with the late-time expansion, that a scaling solution does not exist. The boundary dynamics in this regime depends on initial conditions encoded in the bulk behavior of a Fefferman-Graham metric coefficient at initial proper-time. The relation between the early-time expansion of the energy density and initial conditions in the bulk of AdS is provided. As a general result it is proven that a singularity of some metric coefficient in Fefferman-Graham frame exists at all times. Requiring that this singularity at tau = 0 is a mere coordinate singularity without the curvature blow-up gives constraints on the possible boundary dynamics. Using a simple Pade resummation for solutions satisfying the regularity constraint, the features of a transition to local equilibrium, and thus to the hydrodynamical late-time regime, have been observed. The impact of this study on the problem of thermalization is discussed.

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英文摘要：

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