Abstract
We determine the complete NLL running of the static potential associated with the locally 1/2 BPS Wilson loop in \( \mathcal{N}=4 \) 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 \( \mathcal{N}=4 \) 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.
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ArXiv ePrint: 1209.2122
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Stahlhofen, M. NLL resummation for the static potential in \( \mathcal{N}=4 \) SYM theory. J. High Energ. Phys. 2012, 155 (2012). https://doi.org/10.1007/JHEP11(2012)155
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DOI: https://doi.org/10.1007/JHEP11(2012)155