Twist-three at five loops, Bethe Ansatz and wrapping

Details Twist-three at five loops, Bethe Ansatz and wrapping Twist-three at five loops, Bethe Ansatz and wrapping

2009-01-30

arxiv.org/abs/0901.4864v2

JHEP 0903:129,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages

Scientific paper

10.1088/1126-6708/2009/03/129

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.

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