The generalized scaling function of AdS/CFT and semiclassical string theory
High Energy Physics - Theory
2011-06-02 v1
Abstract
Recently, Freyhult, Rej and Staudacher (FRS) proposed an integral equation determining the leading logarithmic term of the anomalous dimension of sl(2) twist-operators in N=4 SYM for large Lorentz spin M and twist L at fixed j = L/log(M). We discuss the large j limit of the FRS equation. This limit can be matched with the {\em fast long string} limit of AdS_5 X S^5 superstring perturbation theory at all couplings. In particular, a certain part of the classical and one-loop string result is known to be protected and can be computed in the weakly coupled large-j limit of the FRS equation. We present various analytical and numerical results supporting agreement at one and two loops in the gauge theory.
Cite
@article{arxiv.0806.3704,
title = {The generalized scaling function of AdS/CFT and semiclassical string theory},
author = {Matteo Beccaria},
journal= {arXiv preprint arXiv:0806.3704},
year = {2011}
}
Comments
31 pages, 8 eps figures