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arXiv · 1209.2122

NLL resummation for the static potential in N=4 SYM theory

Maximilian Stahlhofen
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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.

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Maximilian Stahlhofen. 2012-12-06. NLL resummation for the static potential in N=4 SYM theory. https://doi.org/10.1007/jhep11(2012)155

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