Anomalous dimensions of finite size field strength operators in N=4 SYM

Abstract

In the N=4 super Yang-Mills theory, we consider the higher order anomalous dimensions gamma_L(g) of purely gluonic operators Tr(F^L) where F is a component of the self-dual field strength. We propose compact closed expressions depending parametrically on L that reproduce the prediction of Bethe Ansatz equations up to five loop order, including transcendental dressing corrections. The size dependence follows a simple pattern as the perturbative order is increased and suggests hidden relations for these special operators.

arXiv comment26 pages, 3 eps figures. v2: published version, minor changes, references added

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• Twist-three at five loops, Bethe Ansatz and wrapping
• Reciprocity of gauge operators in N=4 SYM
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Fusion hierarchies for N = 4 superYang-Mills theory
• Sum rules for higher twist sl(2)operators in N=4 SYM
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• QCD-like properties for anomalous dimensions in N=4 SYM