An Operator Product Expansion for Form Factors II. Born level

Abstract

Form factors in planar N=4 Super-Yang-Mills theory admit a type of non-perturbative operator product expansion (OPE), as we have recently shown in arXiv:2009.11297. This expansion is based on a decomposition of the dual periodic Wilson loop into elementary building blocks: the known pentagon transitions and a new object that we call form factor transition, which encodes the information about the local operator. In this paper, we compute the two-particle form factor transitions for the chiral part of the stress-tensor supermultiplet at Born level; they yield the leading contribution to the OPE. To achieve this, we explicitly construct the Gubser-Klebanov-Polyakov two-particle singlet states. The resulting transitions are then used to test the OPE against known perturbative data and to make higher-loop predictions.

arXiv comment35 pages, 4 figures, 2 ancillary files; v2: LaTeX figure issue fixed

References in corpus (47)

• Harmonic Polylogarithms
• A semi-classical limit of the gauge/string correspondence
• Unraveling hadron structure with generalized parton distributions
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Projectors, Shadows, and Conformal Blocks
• Comments on gluon scattering amplitudes via AdS/CFT
• Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
• Comments on operators with large spin
• An Operator Product Expansion for Polygonal null Wilson Loops
• Form factors at strong coupling via a Y-system
• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• Integrability in QCD and beyond
• Pulling the straps of polygons
• Analytic two-loop form factors in N=4 SYM
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• Exciting the GKP string at any coupling
• OPE for all Helicity Amplitudes
• Dilatation operator in (super-)Yang-Mills theories on the light-cone
• The last of the simple remainders
• Renormalization group coefficients and the S-matrix
• A Three-Point Form Factor Through Five Loops
• Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite Coupling
• Nonsinglet pentagons and NMHV amplitudes
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• OPE for all Helicity Amplitudes II. Form Factors and Data Analysis
• On-shell Diagrams, Graßmannians and Integrability for Form Factors
• Scattering Amplitudes -- Wilson Loops Duality for the First Non-planar Correction
• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• Fermionic pentagons and NMHV hexagon
• Amplitudes, Form Factors and the Dilatation Operator in $\mathcal{N}=4$ SYM Theory
• On-Shell Methods for the Two-Loop Dilatation Operator and Finite Remainders
• The SU(2|3) dynamic two-loop form factors
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part I: $\mathcal{N}=4$ super Yang-Mills
• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• An Operator Product Expansion for Form Factors
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Dual conformal invariance for form factors
• From Polygon Wilson Loops to Spin Chains and Back
• Matrix pentagons
• Finite remainders of the Konishi at two loops in $\mathcal{N}=4$ SYM
• Correlation functions of local composite operators from generalized unitarity
• Konishi Form Factor at Three Loop in $\mathcal{N}=4$ SYM
• OPE for null Wilson loops and open spin chains
• Colour-Twist Operators I: Spectrum and Wave Functions
• Hexagon POPE: effective particles and tree level resummation

Cited by in corpus (1)

• An Operator Product Expansion for Form Factors