On the collinear limit of scattering amplitudes at strong coupling

Abstract

In this letter we consider the collinear limit of gluon scattering amplitudes in planar N=4 SYM theory at strong coupling. We argue that in this limit scattering amplitudes map into correlators of twist fields in the two dimensional non-linear O(6) sigma model, similar to those appearing in recent studies of entanglement entropy. We provide evidence for this assertion by combining the intuition springing from the string worldsheet picture and the predictions coming from the OPE series. One of the main implications of these considerations is that scattering amplitudes receive equally important contributions at strong coupling from both the minimal string area and its fluctuations in the sphere.

arXiv comment8 pages, 8 figures

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Cited by in corpus (49)

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• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Structure constants at wrapping order
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM
• Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite Coupling
• Nonsinglet pentagons and NMHV amplitudes
• Scattering Amplitudes -- Wilson Loops Duality for the First Non-planar Correction
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Antipodal Self-Duality for a Four-Particle Form Factor
• Collinear limits beyond the leading order from the scattering equations
• The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
• Matrix pentagons
• Bootstrapping six-gluon scattering in planar $\mathcal{N}=4$ super-Yang-Mills theory
• Bootstrapping a Two-Loop Four-Point Form Factor
• The Two-Loop Remainder Function for Eight and Nine Particles
• The Two-Loop Symbol of all Multi-Regge Regions
• An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
• Conical Twist Fields and Null Polygonal Wilson Loops
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes
• Worldsheet scattering for the GKP string
• Nonperturbative enhancement of superloop at strong coupling
• Towards NMHV amplitudes at strong coupling
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• Octagons II: Strong Coupling
• All two-loop MHV remainder functions in multi-Regge kinematics
• On the scattering of gluons in the GKP string
• Strong Wilson polygons from the lodge of free and bound mesons
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling
• Resummed tree heptagon
• Supersymmetric quantum mechanics of the flux tube
• A Two-Loop Four-Point Form Factor at Function Level
• Soft-Collinear Supersymmetry
• Logarithmic Singularities and Maximally Supersymmetric Amplitudes
• ABJM flux-tube and scattering amplitudes
• The Multi-Regge Limit from the Wilson Loop OPE
• Quantum Wronskian approach to six-point gluon scattering amplitudes at strong coupling
• Descent equation for superloop and cyclicity of OPE
• Vacuum expectation value of twist fields
• Twisting perturbed parafermions
• Spectral determinants for twist field correlators
• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string
• $\mathcal{N}=4$ polygonal Wilson loops: fermions
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM