Scaling function in AdS/CFT from the O(6) sigma model

Details Scaling function in AdS/CFT from the O(6) sigma model Scaling function in AdS/CFT from the O(6) sigma model

2008-09-29

arxiv.org/abs/0809.4952v1

Nucl.Phys.B811:438-462,2009

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 2 figures

Scientific paper

10.1016/j.nuclphysb.2008.11.023

Asymptotic behavior of the anomalous dimensions of Wilson operators with high spin and twist is governed in planar N=4 SYM theory by the scaling function which coincides at strong coupling with the energy density of a two-dimensional bosonic O(6) sigma model. We calculate this function by combining the two-loop correction to the energy density for the O(n) model with two-loop correction to the mass gap determined by the all-loop Bethe ansatz in N=4 SYM theory. The result is in agreement with the prediction coming from the thermodynamical limit of the quantum string Bethe ansatz equations, but disagrees with the two-loop stringy corrections to the folded spinning string solution.

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