Scaling function in AdS/CFT from the O(6) sigma model
High Energy Physics - Theory
2009-02-02 v1
Abstract
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.
Cite
@article{arxiv.0809.4952,
title = {Scaling function in AdS/CFT from the O(6) sigma model},
author = {Z. Bajnok and J. Balog and B. Basso and G. P. Korchemsky and L. Palla},
journal= {arXiv preprint arXiv:0809.4952},
year = {2009}
}
Comments
25 pages, 2 figures