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.

22 pages, 1 figure, 2 appendices; minor changes, reference + footnote added, matches published version

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Cited by in corpus (6)

• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Quark--anti-quark potential in N=4 SYM
• Lattice studies of supersymmetric gauge theories
• Relativistic corrections to the static energy in terms of Wilson loops at weak coupling
• The ground state of long-range Schrodinger equations and static $q\bar{q}$ potential
• On the cusp anomalous dimension in the ladder limit of $\mathcal{N}=4$ SYM