Early time dynamics in heavy-ion collisions from AdS/CFT correspondence

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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 τ we show that Bjorken hydrodynamics solution, obtained recently by Janik and Peschanski using gauge-gravity duality [1], 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 a similar strategy to show that the energy density ε approaches a constant as τ→0. 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 τ_iso≈0.3 fm/c, in good agreement with results of hydrodynamic simulations.




Yuri V. Kovchegov, Anastasios Taliotis, "Early time dynamics in heavy-ion collisions from AdS/CFT correspondence," Physical Review C 76, no. 1 (2007), doi:10.1103/PhysRevC.76.014905