Strong coupling for planar ${\cal N}=4$ SYM theory: an all-order result

Details Strong coupling for planar ${\cal N}=4$ SYM theory: an all-order result Strong coupling for planar ${\cal N}=4$ SYM theory: an all-order result

2008-04-18

arxiv.org/abs/0804.2893v2

Nucl.Phys.B810:563-574,2009

Physics

High Energy Physics

High Energy Physics - Theory

references added, typos corrected; Latex file plus one figure

Scientific paper

10.1016/j.nuclphysb.2008.10.018

We propose a scheme for determining a generalised scaling function, namely the Sudakov factor in a peculiar double scaling limit for high spin and large twist operators belonging to the $sl(2)$ sector of planar ${\cal N}=4$ SYM. In particular, we perform explicitly the all-order computation at strong 't Hooft coupling regarding the first (contribution to the) generalised scaling function. Moreover, we compare our asymptotic results with the numerical solutions finding a very good agreement and evaluate numerically the non-asymptotic contributions. Eventually, we illustrate the agreement and prediction on the string side.

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