On the scattering over the GKP vacuum

Abstract

By converting the Asymptotic Bethe Ansatz (ABA) of $\mathcal{N}=4$ SYM into non-linear integral equations, we find 2D scattering amplitudes of excitations on top of the GKP vacuum. We prove that this is a suitable and powerful set-up for the understanding and computation of the whole S-matrix. We show that all the amplitudes depend on the fundamental scalar-scalar one.

final version, 14 pages, to appear in Physics Letters B

References in corpus (8)

• Comments on operators with large spin
• Logarithmic scaling in gauge/string correspondence
• A Generalized Scaling Function for AdS/CFT
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Strong coupling for planar $\mathcal{N}=4$ SYM theory: an all-order result
• Bethe Ansaetze for GKP strings
• Spiky Strings and Giant Holes

Cited by in corpus (20)

• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Nonsinglet pentagons and NMHV amplitudes
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• Fermionic pentagons and NMHV hexagon
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Wilson loop OPE, analytic continuation and multi-Regge limit
• The low energy limit of the AdS(3) x S(3) x M(4) spinning string
• Conical Twist Fields and Null Polygonal Wilson Loops
• Worldsheet scattering for the GKP string
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes
• Towards NMHV amplitudes at strong coupling
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• On the scattering of gluons in the GKP string
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Strong Wilson polygons from the lodge of free and bound mesons
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• ABJM flux-tube and scattering amplitudes
• Descent equation for superloop and cyclicity of OPE
• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM