Gravity dual of 1 + 1 dimensional Bjorken expansion
Gravity dual of 1 + 1 dimensional Bjorken expansion
复制标题
1 1 维 Bjorken 展开的重力对偶
DOI：
10.1103/physrevd.76.106006
复制
发表时间：
2007
影响因子：
5
通讯作者：
T. Tahkokallio
中科院分区：
文献类型：
--
作者：
K. Kajantie;J. Louko;T. Tahkokallio
研究了AdS/CFT对偶性在超相对论重离子碰撞中产生的QCD物质的纵向boost不变Bjorken展开中的应用。由于（1+3）维边界理论的（1+4）维整体解还不清楚，我们详细研究了（1+1）维边界理论，其中整体是AdS{sub 3}引力。我们找到了一个精确的体解，证明了该解描述了部分无自旋Banados-Teitelboim-Zanelli黑洞的角维解，并利用Banados-Teitelboim-Zanelli黑洞的热力学性质恢复了边界上的温度和熵密度随时间的变化.在从全息能量动量张量中分离出真空贡献后，我们发现边界流体是局部热平衡的理想气体。包括角动量的散装给出了一个边界流，这是升压不变，但有一个非零的纵向速度相对于比约肯膨胀。
We study the application of AdS/CFT duality to longitudinal boost-invariant Bjorken expansion of QCD matter produced in ultrarelativistic heavy ion collisions. As the exact (1+4)-dimensional bulk solutions for the (1+3)-dimensional boundary theory are not known, we investigate in detail the (1+1)-dimensional boundary theory, where the bulk is AdS{sub 3} gravity. We find an exact bulk solution, show that this solution describes part of the spinless Banados-Teitelboim-Zanelli black hole with the angular dimension unwrapped, and use the thermodynamics of the Banados-Teitelboim-Zanelli hole to recover the time-dependent temperature and entropy density on the boundary. After separating from the holographic energy-momentum tensor a vacuum contribution, given by the extremal black hole limit in the bulk, we find that the boundary fluid is an ideal gas in local thermal equilibrium. Including angular momentum in the bulk gives a boundary flow that is boost invariant but has a nonzero longitudinal velocity with respect to the Bjorken expansion.