Recently, Freyhult, Rej and Staudacher (FRS) proposed an integral equation determining the leading logarithmic term of the anomalous dimension of sl twist- operators in SYM for large Lorentz spin and twist at fixed . We discuss the large limit of the FRS equation. This limit can be matched with the fast long string limit of superstring perturbation theory at all couplings. In par- ticular, 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- limit of the FRS equation. We present various analytical and numerical results supporting agreement at one and two loops in the gauge theory.
The Generalized scaling function of AdS/CFT and semiclassical string theory
BECCARIA, Matteo
2008-01-01
Abstract
Recently, Freyhult, Rej and Staudacher (FRS) proposed an integral equation determining the leading logarithmic term of the anomalous dimension of sl twist- operators in SYM for large Lorentz spin and twist at fixed . We discuss the large limit of the FRS equation. This limit can be matched with the fast long string limit of superstring perturbation theory at all couplings. In par- ticular, 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- limit of the FRS equation. We present various analytical and numerical results supporting agreement at one and two loops in the gauge theory.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
