The generalized scaling function of AdS/CFT and semiclassical string theory

Details The generalized scaling function of AdS/CFT and semiclassical string theory The generalized scaling function of AdS/CFT and semiclassical string theory

2008-06-23

arxiv.org/abs/0806.3704v1

JHEP 0807:082,2008

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 8 eps figures

Scientific paper

10.1088/1126-6708/2008/07/082

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.

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