Deep inelastic scattering off a 𝒩 = 4 SYM plasma at strong coupling

2007/10/31 by Y. Hatta, Y Hatta, E. Iancu +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Deep inelastic scattering #High-Energy Particle Collisions Research #Inelastic scattering #Parton #Plasma #Quantum Chromodynamics and Particle Interactions #Quark–gluon plasma #Saturation (graph theory) #Scattering #Supergravity #hep-ph #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/01/063

published as JHEP0801:063,2008 · Version accepted for publication in JHEP: more references added; some technical points were displaced from Sect. 4 to the new Appendix D

openalex publication_date 2008/01/28 · arxiv created 2008/02/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

By using the AdS/CFT correspondence we study the deep inelastic scattering of an R-current off a N=4 supersymmetric Yang-Mills (SYM) plasma at finite temperature and strong coupling. Within the supergravity approximation valid when the number of colors is large, we compute the structure functions by solving Maxwell equations in the space-time geometry of the AdS₅ black three-brane. We find a rather sharp transition between a low energy regime where the scattering is weak and quasi-elastic, and a high-energy regime where the current is completely absorbed. The critical energy for this transition determines the plasma saturation momentum in terms of its temperature T and the Bjorken x variable: Q_s=T/x. These results suggest a partonic picture for the plasma where all the partons have transverse momenta below the saturation momentum and occupation numbers of order one.

Citations

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