Holographic Dual of Scattering and Black Hole Formation

Abstract

The AdS/CFT correspondence [1] has provided a framework for discussing a strongly coupled regime of gauge theories in terms of their gravity dual description. The equilibrium finite temperature problem using a black-hole background was discussed in [2]. This approach has provided a simple explanation for high energy jet quenching at RHIC [3] an issue of considerable experimental interest in the sQGP [4–6]. The purpose of this paper is to address the issues of thermalization in a heavy-ion collision using the gravity dual description of a time dependent black hole formation. In [8], black hole formation in AdS space and its gauge theory dual were discussed by using the setting put forward by Polchinski and Strassler [9], where the gauge theory scattering amplitude is identified as a weighted sum of string amplitudes in AdS. The contribution of each AdS radius is weighted by a radial wave function peaked in the IR region. Because of this, Giddings suggested that the dual of the gauge theory fields live on the IR brane and the black hole should materialize there. More recently, Aharony, Minwalla and Wiseman [13] discussed a scenario leading to a long-lived or quasi-static plasma ball in the same setting. The basic idea of this paper is that if we view the incoming particles as highly excited glueballs, the holographic image of scattering must be at the sky of the AdS space rather than at the bottom (IR region), therefore black holes forms by the debris of scattering which has to fall to the bottom. Such falling will explain the dynamics of the cooling.