Generalized quark-antiquark potential at weak and strong coupling

2011/05/25 by Nadav Drukker, Валентина Форини, Valentina Forini · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Gauge theory #Generalization #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Observable #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Semiclassical physics #String theory #Theoretical physics #Wilson loop #hep-th

paper · pdf · doi:10.1007/jhep06(2011)131

43 pages: 15 comprising the main text and 25 for detailed appendices

arxiv created 2011/05/25 · openalex publication_date 2011/06/01 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study a two-parameter family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory which interpolates smoothly between the 1/2 BPS line or circle and a pair of antiparallel lines. These observables capture a natural generalization of the quark-antiquark potential. We calculate these loops on the gauge theory side to second order in perturbation theory and in a semiclassical expansion in string theory to one-loop order. The resulting determinants are given in integral form and can be evaluated numerically for general values of the parameters or analytically in a systematic expansion around the 1/2 BPS configuration. We comment about the feasibility of deriving all-loop results for these Wilson loops.

Citations

• An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory
• The subleading term of the strong coupling expansion of the heavy-quark potential in a 𝒩 = 4 super Yang-Mills vacuum
• A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions with an account of the principal transcendental functions
• On the integrability of Wilson loops inAdS5×S5: some periodic ansatze
• The subleading term of the strong coupling expansion of the heavy-quark potential in a N = 4 super Yang-Mills plasma

Cited by

• Generalized quark–antiquark potentials from aq-deformed AdS5× S5background
• An exact formula for the radiation of a moving quark in N = 4 super Yang Mills
• Supersymmetric Lifshitz-like backgrounds from N = 4 SYM with heavy quark density