Nonperturbative scales in AdS/CFT

Abstract

The cusp anomalous dimension is a ubiquitous quantity in four-dimensional gauge theories, ranging from QCD to maximally supersymmetric N=4 Yang-Mills theory, and it is one of the best investigated observables in the AdS/CFT correspondence. In planar N=4 SYM theory, its perturbative expansion at weak coupling has a finite radius of convergence while at strong coupling it admits an expansion in inverse powers of the 't Hooft coupling which is given by a non-Borel summable asymptotic series. We study the cusp anomalous dimension in the transition regime from strong to weak coupling and argue that the transition is driven by nonperturbative, exponentially suppressed corrections. To compute these corrections, we revisit the calculation of the cusp anomalous dimension in planar N=4 SYM theory and extend the previous analysis by taking into account nonperturbative effects. We demonstrate that the scale parameterizing nonperturbative corrections coincides with the mass gap of the two-dimensional bosonic O(6) sigma model embedded into the AdS_5xS^5 string theory. This result is in agreement with the prediction coming from the string theory consideration.

49 pages, 1 figure; v2: minor corrections, references added

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Cited by in corpus (24)

• Review of AdS/CFT Integrability: An Overview
• Exciting the GKP string at any coupling
• Symmetries and analytic properties of scattering amplitudes in N=4 SYM theory
• Nonsinglet pentagons and NMHV amplitudes
• Octagon at finite coupling
• Quantum integrability and functional equations
• Scaling function in AdS/CFT from the O(6) sigma model
• Resurgence in $\eta$-deformed Principal Chiral Models
• The Resurgence of the Cusp Anomalous Dimension
• Bethe Ansaetze for GKP strings
• Exponential suppression with four legs and an infinity of loops
• Luescher formula for GKP string
• The structure of IR divergences in celestial gluon amplitudes
• What can we learn about QCD and collider physics from N=4 super Yang-Mills?
• Cross-Order Integral Relations from Maximal Cuts
• Nonperturbative enhancement of superloop at strong coupling
• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• Towards NMHV amplitudes at strong coupling
• Running coupling and non-perturbative corrections for O$(N)$ free energy and for disk capacitor
• Exploring superconformal Yang-Mills theories through matrix Bessel kernels
• Resurgence of the Tilted Cusp Anomalous Dimension
• On the dressing phase in the SL(2) Bethe Ansatz
• Strong coupling expansion of free energy and BPS Wilson loop in $\mathcal{N}=2$ superconformal models with fundamental hypermultiplets