Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM

Details Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM

2007-04-26

arxiv.org/abs/0704.3570v1

JHEP 0706:044,2007

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, JHEP style

Scientific paper

10.1088/1126-6708/2007/06/044

We consider twist-3 operators in the sl(2) sector of N=4 SYM built out of three scalar fields with derivatives. We extract from the Bethe Ansatz equations of this sector the exact lowest anomalous dimension gamma(s) of scaling fields for several values of the operator spin s. We propose compact closed expressions for the spin dependence of gamma(s) up to the four loop level and show that they obey a simple new twist-3 transcendentality principle. As a check, we reproduce the four loop universal cusp anomalous dimension governing the logarithmic large spin limit of gamma(s).

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