Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-10-17
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, 8 figures
Scientific paper
The high-energy behavior of N=4 SYM elastic amplitudes at strong coupling is studied by means of the AdS/CFT correspondence. For massless gluon-gluon scattering, we consider the amplitude found by Alday and Maldacena using a minimal surface in AdS_5 momentum space. For elastic scattering of massive quarks, we reconsider the eikonal method proposed by Janik and one of the authors of this paper, where the relevant minimal surface is a "generalized helicoid" in hyperbolic space ("Euclidean AdS_5"), from which the physical amplitude is obtained after an appropriate analytic continuation. Exploiting a conformal transformation, we are able to show that the quark-quark amplitude is dominated by the same cusp contribution already found in the gluon-gluon case. Both amplitudes are shown to be of Regge type at high energy, with the same logarithmic Regge trajectory, in agreement with the expected universality property of Regge amplitudes. The subleading constant term in the trajectory is known for gluon-gluon scattering, but it is regularization-scheme dependent. Hence, the full content of Regge universality remains an open problem.
Giordano Matteo
Peschanski Robi
Seki Shigenori
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