期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -出版社
SPRINGER
DOI: 10.1088/1126-6708/2009/10/043
关键词
AdS-CFT Correspondence; QCD
资金
- Polish/French Research Programme Polonium, Polish Ministry of Science and Information Technologies [NN202 247135]
- Foundation for Polish Science award START
- 6 Program of European Union Marie Curie Transfer of Knowledge [MTKD-CT-2004-517186]
- Helena Kogutowska Scientific Scholarship by Jagiellonian University
- Polish Science Funds [NN202 105136]
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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