Magnons and BFKL
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.
Keywords
Cite
@article{arxiv.0807.2339,
title = {Magnons and BFKL},
author = {Cesar Gomez and Johan Gunnesson and Rafael Hernandez},
journal= {arXiv preprint arXiv:0807.2339},
year = {2009}
}
Comments
21 pages. Latex. v2: Reference added and minor changes