# The static potential in {cal N}=4 supersymmetric Yang-Mills at weak coupling - High Energy Physics - Theory

Abstract: We compute the static potential associated to the locally 1-2 BPS Wilson loopin ${\cal N}$=4 supersymmetric Yang-Mills theory with ${\cal O}\lambda^2-r$accuracy. We also resum the leading logarithms, of ${\calO}\lambda^{n+1}\ln^n\lambda-r$, and show the structure of the renormalizationgroup equation at next-to-leading order in the multipole expansion. In order toobtain these results it is crucial the use of an effective theory for theultrasoft degrees of freedom. We develop this theory up to next-to-leadingorder in the multipole expansion. Using the same formalism we also compute theleading logarithms, of ${\cal O}\lambda^{n+3}\ln^n\lambda-r$, of the staticpotential associated to an ordinary Wilson loop in the same theory.

Author: Antonio Pineda

Source: https://arxiv.org/