Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-01-30
Phys. Rev. Lett.102:031601, 2009
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, REVTeX, a letter version of arXiv:0807.3797. A slightly shorter version has been published in Physical Review Letters
Scientific paper
10.1103/PhysRevLett.102.031601
We propose a consistent setup for the holographic dual of the strongly coupled large-Nc N=4 super Yang-Mills theory plasma which undergoes the Bjorken flow relevant to the quark-gluon plasma at BNL Relativistic Heavy Ion Collider and CERN LHC. The dual geometry is constructed order by order in a well-defined late-time expansion. The transport coefficients are determined by the regularity of the geometry. We prove, for the first time, that the dual geometry has an apparent horizon hence an event horizon, which covers a singularity at the origin. Further we prove that the dual geometry is regular to all orders in the late-time expansion under an appropriate choice of the transport coefficients. This choice is also shown to be unique. Our model serves as a concrete well-defined example of a time-dependent AdS/CFT dual.
Kinoshita Shunichiro
Mukohyama Shinji
Nakamura Shin
Oda Kin-ya
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