Ladder Limit for Correlators of Wilson Loops

Abstract

We study the correlator of concentric circular Wilson loops for arbitrary radii, spatial and internal space separations. For real values of the parameters specifying the dual string configuration, a typical Gross-Ooguri phase transition is observed. In addition, we explore some analytic continuation of a parameter $\gamma$ that characterizes the internal space separation. This enables a ladder limit in which ladder resummation and string theory computations precisely agree in the strong coupling limit. Finally, we find a critical value of $\gamma$ for which the correlator is supersymmetric and ladder diagrams can be exactly resummed for any value of the coupling constant.

arXiv comment25 pages, 5 figures; v2 references, minor corrections and clarifications added; published version

References in corpus (34)

• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Wilson Loops and Minimal Surfaces
• The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
• Aspects of Large N Gauge Theory Dynamics as Seen by String Theory
• The cusp anomalous dimension at three loops and beyond
• Correlators of local operators and 1/8 BPS Wilson loops on S^2 from 2d YM and matrix models
• On the integrability of Wilson loops in AdS_5 x S^5: Some periodic ansatze
• Wilson Loop Correlator in the AdS/CFT Correspondence
• Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Notes on supersymmetric Wilson loops on a two-sphere
• Correlators of supersymmetric Wilson-loops, protected operators and matrix models in N=4 SYM
• Structure Constants of Defect Changing Operators on the 1/2 BPS Wilson Loop
• Phase transition in Wilson loop correlator from AdS/CFT correspondence
• Two Loops to Two Loops in N=4 Supersymmetric Yang-Mills Theory
• Correlation Function of Circular Wilson Loops at Strong Coupling
• Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
• Systematics of the cusp anomalous dimension
• Gross-Ooguri Phase Transition at Zero and Finite Temperature: Two Circular Wilson Loop Case
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Ladders for Wilson Loops Beyond Leading Order
• Phase transitions in Wilson loop correlator from integrability in global AdS
• String Breaking from Ladder Diagrams in SYM Theory
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
• Correlators of Circular Wilson Loops from Holography
• Two Circular Wilson Loops and Marginal Deformations
• Resumming planar diagrams for the N=6 ABJM cusped Wilson loop in light-cone gauge
• Correlators of Hopf Wilson loops in the AdS/CFT correspondence
• Wilson loop and its correlators in the limit of large coupling constant
• Holographic Calculations of Euclidean Wilson Loop Correlator in Euclidean anti-de Sitter Space

Cited by in corpus (6)

• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• Dyson equations for correlators of Wilson loops
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Loop Equation and Exact Soft Anomalous Dimension in N=4 Super Yang-Mills
• Wilson loops correlators in defect $\mathcal{N}=4$ SYM
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops