D-instantons and multiparticle production in N=4 SYM

Details D-instantons and multiparticle production in N=4 SYM D-instantons and multiparticle production in N=4 SYM

2009-10-18

arxiv.org/abs/0910.3355v2

JHEP 2010:046,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pp and 11 figures in the eps format

Scientific paper

10.1007/JHEP01(2010)046

N=4 Super-symmetric Yang-Mills theory (N=4 SYM) in the strong coupling regime has been successfully applied (through the AdS/CFT correspondence) to the description of strongly coupled plasma which is a multiparticle state. Yet, the high-energy scattering in the strong coupling limit of N=4 SYM is purely elastic, so this multiparticle final state can never be produced: this is because in this limit the theory is dual to weak supergravity, and the dominant interaction is the elastic graviton exchange. Here we propose a resolution of this dilemma by considering the contribution of D-instantons in $AdS_5$ bulk space to the scattering amplitude. We argue that D-instantons coupled to dilatons and axions are responsible for multiparticle production in strongly coupled N=4 SYM, and the corresponding cross section increases with energy. We evaluate the intercept and the slope of the corresponding Pomeron trajectory in terms of the typical size of the D-instanton, and argue that the resulting physical picture may resemble the real world.

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