An exact formula for the radiation of a moving quark in N = 4 super Yang Mills

2012/02/29 by Diego Correa, Johannes Henn, Juan Maldacena +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Computation #Coupling (piping) #Cusp (singularity) #Dimension (graph theory) #Gravitational singularity #Operator (biology) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quark #Wilson loop #Yang–Mills existence and mass gap #Yang–Mills theory #hep-th

paper · pdf · doi:10.1007/jhep06(2012)048

22 pages, 5 figures. v2: references added, typos corrected

openalex publication_date 2012/06/01 · arxiv created 2012/08/01 · arxiv updated 2015/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We derive an exact formula for the cusp anomalous dimension at small angles. This is done by relating the latter to the computation of certain 1/8 BPS Wilson loops which was performed by supersymmetric localization. This function of the coupling also determines the power emitted by a moving quark in N=4 super Yang Mills, as well as the coefficient of the two point function of the displacement operator on the Wilson loop. By a similar method we compute the near BPS expansion of the generalized cusp anomalous dimension.

Citations

• An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory
• Wilson loops in Script N = 4 SYM and fermion droplets
• Infrared factorization, Wilson lines and the heavy quark limit
• Generalized quark-antiquark potential at weak and strong coupling
• Higgs-regularized three-loop four-gluon amplitude in N = 4 SYM: exponentiation and Regge limits
• Wilson loops in supersymmetric Yang–Mills theory

Cited by

• One-loop correction to the energy of a wavy line string in AdS₅
• Branes from light: embeddings and energetics for symmetric k-quarks in N = 4 N=4 SYM
• Wilson loop correlators in N = 2 superconformal quivers

Related

• The full four-loop cusp anomalous dimension in N=4 super Yang-Mills and QCD
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Integrable Wilson loops
• On radiation by a heavy quark in N = 4 SYM
• Anomalous dimensions from the N=4 SYM hexagon