1,721,169 research outputs found

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

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    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

    Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM,

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    We propose a closed expression for the three loop anomalous dimension of a class of twist-3 operators built with gauge fields and covariant derivatives. To this aim, we solve the long-range Bethe Ansatz equations at finite spin and provide a consistent analytical formula obtained assuming maximal transcendentality violation as suggested by the known one-loop anomalous dimension. The final result reproduces the univer- sal cusp anomalous dimension and obeys recursion relations inspired by the principle of reciprocity invariance
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