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arXiv 0705.1234hep-phhep-thnucl-th
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AdS/CFT Correspondence重离子碰撞的早期动力学

Early Time Dynamics in Heavy Ion Collisions from AdS/CFT Correspondence

Yuri V. Kovchegov, Anastasios Taliotis

摘要:

我们研究了在重离子碰撞中产生的物质,假设这种物质是强相互作用的,并采用AdS/CFT对应来研究它的动力学。在适当的时候晚,我们表明,比约肯流体力学解决方案,最近获得的Janik和Peschanski使用规范重力对偶性[hep-th/0512162],可以挑选出来,只需要求度量张量是一个真正的和单值函数的坐标无处不在的散装,而不施加任何约束的曲率不变。在早期的适当时间,我们使用类似的策略,以表明能量密度接近一个常数,因为适当的时间趋于零。因此,我们证明了强耦合动力学包含在重离子碰撞的各向同性转变。通过匹配我们的早期制度与后期的Janik和Peschanski,我们估计各向同性化时间在RHIC约为0.3 fm/c,与流体动力学模拟的结果很好地吻合。

英文摘要:

We study the matter produced in heavy ion collisions assuming that this matter is strongly interacting and employing AdS/CFT correspondence to investigate its dynamics. At late proper times we show that Bjorken hydrodynamics solution, obtained recently by Janik and Peschanski using gauge-gravity duality [hep-th/0512162], can be singled out by simply requiring that the metric tensor is a real and single-valued function of the coordinates everywhere in the bulk, without imposing any constraints on the curvature invariant. At early proper times we use similar strategy to show that the energy density approaches a constant as proper time goes to zero. We therefore demonstrate that the strong coupling dynamics incorporates the isotropization transition in heavy ion collisions. By matching our early-time regime with the late-time one of Janik and Peschanski we estimate the isotropization time at RHIC to be approximately 0.3 fm/c, in good agreement with results of hydrodynamic simulations.

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