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

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

2007-07-11

arxiv.org/abs/0707.1574v1

JHEP 0709:023,2007

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, JHEP style

Scientific paper

10.1088/1126-6708/2007/09/023

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.

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