Twist-three at five loops, Bethe Ansatz and wrapping
arXiv:0901.4864 · doi:10.1088/1126-6708/2009/03/129
Abstract
We present a formula for the five-loop anomalous dimension of N=4 SYM twist-three operators in the sl(2) sector. We obtain its asymptotic part from the Bethe Ansatz and finite volume corrections from the generalized Luescher formalism, considering scattering processes of spin chain magnons with virtual particles that travel along the cylinder. The complete result respects the expected large spin scaling properties and passes non-trivial tests including reciprocity constraints. We analyze the pole structure and find agreement with a conjectured resummation formula. In analogy with the twist-two anomalous dimension at four-loops, wrapping effects are of order log^2 M/M^2 for large values of the spin.
19 pages
References in corpus (9)
- String hypothesis for the AdS_5 x S^5 mirror
- Wrapping at four loops in N=4 SYM
- Wrapping interactions at strong coupling -- the giant magnon
- A Generalized Scaling Function for AdS/CFT
- N=4 SUSY Yang--Mills: three loops made simple(r)
- Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution
- The virtual scaling function of AdS/CFT
- Reciprocity of gauge operators in N=4 SYM
- On the origin of the dressing phase in N=4 Super Yang-Mills