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arXiv · 0807.2339

Magnons and BFKL

Cesar Gomez·Johan Gunnesson·Rafael Hernandez
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Abstract

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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Cesar Gomez, Johan Gunnesson, Rafael Hernandez. 2008-07-22. Magnons and BFKL. https://doi.org/10.1088/1126-6708%2F2008%2F09%2F060

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