The static potential in {\cal N}=4 supersymmetric Yang-Mills at weak coupling

Abstract

We compute the static potential associated to the locally 1/2 BPS Wilson loop in $\mathcal{N}$=4 supersymmetric Yang-Mills theory with $\mathcal{O}({\lambda }^2/r)$ accuracy. We also resum the leading logarithms, of $\mathcal{O}({\lambda }^{n+1}{\ln }^n\lambda /r)$, and show the structure of the renormalization group equation at next-to-leading order in the multipole expansion. In order to obtain these results it is crucial the use of an effective theory for the ultrasoft degrees of freedom. We develop this theory up to next-to-leading order in the multipole expansion. Using the same formalism we also compute the leading logarithms, of $\mathcal{O}({\lambda }^{n+3}{\ln }^n\lambda /r)$, of the static potential associated to an ordinary Wilson loop in the same theory.

6 pages, 1 figure. Two references added, misprints corrected. Computation of the static potential associated to the ordinary static Wilson loop incorporated

References in corpus (14)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Effective field theories for heavy quarkonium
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• Wilson Loops and Minimal Surfaces
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• Holographic Wilson Loops
• The infrared behaviour of the static potential in perturbative QCD
• Ultrasoft Effects in Heavy-Quarkonium Physics
• The Renormalization Group Improvement of the QCD Static Potentials
• Poincare' invariance constraints on NRQCD and potential NRQCD
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• Static Potential in N=4 Supersymmetric Yang-Mills Theory

Cited by in corpus (20)

• Generalized quark-antiquark potential at weak and strong coupling
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Determination of the Static Potential with Dynamical Fermions
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Quark-antiquark potential in AdS at one loop
• The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal{N}=4$ Super Yang-Mills Vacuum
• Solvable Relativistic Hydrogenlike System in Supersymmetric Yang-Mills Theory
• The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal{N}=4$ Super Yang-Mills Plasma
• Progress and prospects of lattice supersymmetry
• Next-to-leading ultrasoft running of the heavy quarkonium potentials and spectrum: Spin-independent case
• The full angle-dependence of the four-loop cusp anomalous dimension in QED
• Lattice studies of supersymmetric gauge theories
• Non-relativistic and potential non-relativistic effective field theories for scalar mediators
• More about "short" spinning quantum strings
• Heavy quark and gluino potentials to two loops
• Relativistic corrections to the static energy in terms of Wilson loops at weak coupling
• Two-loop static potential in N=4 supersymmetric Yang-Mills theory
• On hydrogen-like bound states in $\mathcal{N}=4$ super Yang-Mills
• Correlators of Hopf Wilson loops in the AdS/CFT correspondence
• Generalized quark-antiquark potential in AdS/CFT