2008/09/29 by Z. Bajnok, J. Balog, B. Basso +2 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2008.11.023
published as Nucl.Phys.B811:438-462,2009 · 25 pages, 2 figures
arxiv created 2008/09/29 · arxiv updated 2009/12/01
Asymptotic behavior of the anomalous dimensions of Wilson operators with high spin and twist is governed in planar N=4 SYM theory by the scaling function which coincides at strong coupling with the energy density of a two-dimensional bosonic O(6) sigma model. We calculate this function by combining the two-loop correction to the energy density for the O(n) model with two-loop correction to the mass gap determined by the all-loop Bethe ansatz in N=4 SYM theory. The result is in agreement with the prediction coming from the thermodynamical limit of the quantum string Bethe ansatz equations, but disagrees with the two-loop stringy corrections to the folded spinning string solution.