City Research Online

Abstract

We study at strong coupling the scaling function describing the large spin anomalous dimension of twist two operators in Script N = 4 super Yang-Mills theory. In the spirit of AdS/CFT duality, it is possible to extract it from the string Bethe Ansatz equations in the fraktur sfraktur l(2) sector of the AdS5 × S5 superstring. To this aim, we present a detailed analysis of the Bethe equations by numerical and analytical methods. We recover several short string semiclassical results as a check. In the more difficult case of the long string limit providing the scaling function, we analyze the strong coupling version of the Eden-Staudacher equation, including the Arutyunov-Frolov-Staudacher phase. We prove that it admits a unique solution, at least in perturbation theory, leading to the correct prediction consistent with semiclassical string calculations.

Publication Type:	Article
Publisher Keywords:	integrable quantum field theory, integrable spin chains (vertex models), quantum integrability (Bethe ansatz)
Departments:	School of Science & Technology > Mathematics
SWORD Depositor:	Symplectic Administrator

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