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

Abstract

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 universal cusp anomalous dimension and obeys recursion relations inspired by the principle of reciprocity invariance.

arXiv comment20 pages, JHEP style

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Cited by in corpus (27)

• Five-Loop Anomalous Dimension of Twist-Two Operators
• Exciting the GKP string at any coupling
• Twist-three at five loops, Bethe Ansatz and wrapping
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Strong Coupling Expansion for the Conformal Pomeron/Odderon Trajectories
• Four loop reciprocity of twist two operators in N=4 SYM
• The property of maximal transcendentality in the N=4 Supersymmetric Yang-Mills
• Reciprocity of gauge operators in N=4 SYM
• Twist operators in N=4 beta-deformed theory
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Fusion hierarchies for N = 4 superYang-Mills theory
• Wrapping in maximally supersymmetric and marginally deformed N=4 Yang-Mills
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• The property of maximal transcendentality: calculation of master integrals
• The property of maximal transcendentality: calculation of Feynman integrals
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
• Magnons and BFKL
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Sum rules for higher twist sl(2)operators in N=4 SYM
• From weak coupling to spinning strings
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• QCD-like properties for anomalous dimensions in N=4 SYM
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators