# Asymmetric Collision of Two Shock Waves in AdS 5 - High Energy Physics - Theory

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Abstract: We consider high energy collisions of two shock waves in AdS 5 as a model ofultrarelativistic nucleus-nucleus collisions in the boundary theory. We firstcalculate the graviton field produced in the collisions in the NLO and NNLOapproximations, corresponding to three- and four-graviton exchanges with theshock waves. We then consider the asymmetric limit where the energy density inone shock wave is much higher than in the other one. In the boundary theorythis setup corresponds to proton-nucleus collisions, with the nucleus being thedenser of the two shock waves and the proton being the less dense one.Employing the eikonal approximation we find the exact high energy analyticsolution for the metric in AdS 5 for the asymmetric collision of twodelta-function shock waves. The solution resums all-order graviton exchangeswith the -nucleus- shock wave and a single-graviton exchange with the -proton-shock wave. Using the holographic renormalization prescription we read off theenergy-momentum tensor of the matter produced in proton-nucleus collisions. Weshow in explicit detail that in the boundary theory the proton is completelystopped by strong-coupling interactions with the nucleus, in agreement with ourearlier results. We also apply the eikonal technique to the asymmetriccollision of two unphysical delta-prime shock waves, which we introduced in anearlier work as a means of modeling nuclear collisions with weak couplinginitial dynamics. We obtain a surprising result that, for delta-prime shockwaves, the multiple bulk graviton exchange series giving the leadingenergy-dependent contribution to the energy-momentum tensor terminates at theorder of two graviton exchanges with the nucleus.

Author: ** Javier L. Albacete, Yuri V. Kovchegov, Anastasios Taliotis**

Source: https://arxiv.org/