Magnons and BFKL

Details Magnons and BFKL Magnons and BFKL

2008-07-15

arxiv.org/abs/0807.2339v2

JHEP 0809:060,2008

Physics

High Energy Physics

High Energy Physics - Theory

21 pages. Latex. v2: Reference added and minor changes

Scientific paper

10.1088/1126-6708/2008/09/060

We extract from the double logarithmic contributions to DGLAP anomalous dimensions for twist-two operators up to three-loops the magnon dispersion relation for planar N=4 supersymmetric Yang-Mills. Perturbatively the magnon dispersion relation agrees with the expansion of the anomalous dimension for spin-one as well as with the non-collinear double logarithmic contributions to the BFKL anomalous dimensions analytically extended to negative spin. The all-loop expression for the magnon dispersion relation is determined by the double logarithmic resummation of the corresponding Bethe-Salpeter equation. A potential map relating the spin chain magnon to BFKL eigenfunctions in the double logarithm approximation is suggested.

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