NLL resummation for the static potential in N=4 SYM theory
Abstract
We determine the complete NLL running of the static potential associated with the locally 1/2 BPS Wilson loop in N=4 supersymmetric Yang-Mills theory. We present results for the SU(N_c) singlet as well as for the adjoint configuration and arbitrary N_c at weak coupling. In order to derive the respective anomalous dimensions we perform a two-loop calculation in the N=4 supersymmetric version of the effective field theory pNRQCD. In addition we confirm the recently obtained fixed-order result for the singlet static potential generated exclusively by ladder diagrams to the third order in the t`Hooft coupling. We also give an explicit expression for the logarithmic contribution of all non-ladder diagrams at this order.
Cite
@article{arxiv.1209.2122,
title = {NLL resummation for the static potential in N=4 SYM theory},
author = {Maximilian Stahlhofen},
journal= {arXiv preprint arXiv:1209.2122},
year = {2012}
}
Comments
22 pages, 1 figure, 2 appendices; minor changes, reference + footnote added, matches published version