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.

8 pages, 8 figures

References in corpus (7)

• Gluon scattering amplitudes at strong coupling
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Comments on operators with large spin
• An Operator Product Expansion for Polygonal null Wilson Loops

Cited by in corpus (16)

• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• 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
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• Antipodal Self-Duality for a Four-Particle Form Factor
• Collinear limits beyond the leading order from the scattering equations
• Bootstrapping six-gluon scattering in planar $\mathcal{N}=4$ super-Yang-Mills theory
• Bootstrapping a Two-Loop Four-Point Form Factor
• An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes
• TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling
• A Two-Loop Four-Point Form Factor at Function Level
• Vacuum expectation value of twist fields
• Quantum Wronskian approach to six-point gluon scattering amplitudes at strong coupling
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM