Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills

Abstract

The multi-Regge limit of scattering amplitudes in strongly-coupled $\mathcal{N}=4$ super Yang-Mills is described by the large mass limit of a set of thermodynamic Bethe ansatz (TBA) equations. A non-trivial remainder function arises in this setup in certain kinematical regions due to excitations of the TBA equations which appear during the analytic continuation into these kinematical regions. So far, these analytic continuations were carried out on a case-by-case basis for the six- and seven-gluon remainder function. In this note, we show that the set of possible excitations appearing in any analytic continuation in the multi-Regge limit for any number of particles is rather constrained. In particular, we show that the BFKL eigenvalue of any possible Reggeon bound state is a multiple of the two-Reggeon BFKL eigenvalue appearing in the six-gluon case.

arXiv comment45 pages, 9 figures. v2: Added arguments regarding the uniqueness of crossing patterns, typos corrected. Matches version published in JHEP

References in corpus (73)

• Gluon scattering amplitudes at strong coupling
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
• Bootstrapping the three-loop hexagon
• Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
• Thermodynamic Bubble Ansatz
• Excited states by analytic continuation of TBA equations
• Y-system for Scattering Amplitudes
• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• The Two-Loop Hexagon Wilson Loop in N = 4 SYM
• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• An Operator Product Expansion for Polygonal null Wilson Loops
• Bootstrapping an NMHV amplitude through three loops
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
• Heptagons from the Steinmann Cluster Bootstrap
• Jumpstarting the all-loop S-matrix of planar N=4 super Yang-Mills
• Hexagon functions and the three-loop remainder function
• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• N=4 supersymmetric Yang Mills scattering amplitudes at high energies: the Regge cut contribution
• Pulling the straps of polygons
• Single-valued harmonic polylogarithms and the multi-Regge limit
• Six-Gluon Amplitudes in Planar $\mathcal{N}=4$ Super-Yang-Mills Theory at Six and Seven Loops
• Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in N=4 SYM
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N}=4$ SYM Amplitudes
• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• Exciting the GKP string at any coupling
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• BFKL equation for the adjoint representation of the gauge group in the next-to-leading approximation at N=4 SUSY
• Excited states in some simple perturbed conformal field theories
• OPE for all Helicity Amplitudes
• Cluster adjacency and the four-loop NMHV heptagon
• Adjoint BFKL at finite coupling: a short-cut from the collinear limit
• Integrability of scattering amplitudes in N=4 SUSY
• Bootstrapping Null Polygon Wilson Loops
• BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills
• 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
• OPE for all Helicity Amplitudes II. Form Factors and Data Analysis
• Nonsinglet pentagons and NMHV amplitudes
• Fermionic pentagons and NMHV hexagon
• BFKL approach and 2->5 MHV amplitude
• Lifting Heptagon Symbols to Functions
• Quantum mechanics of null polygonal Wilson loops
• Two-loop Octagons, Algebraic Letters and $\bar{Q}$ Equations
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• NLO Corrections to the kernel of the BKP-equations
• All-order amplitudes at any multiplicity in the multi-Regge limit
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory at multi-Regge kinematics: Conformal Regge pole contribution
• Hexagon OPE Resummation and Multi-Regge Kinematics
• The symbol and alphabet of two-loop NMHV amplitudes from $\bar{Q}$ equations
• The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
• On factorization of multiparticle pentagons
• Multi-Regge Limit of the n-Gluon Bubble Ansatz
• OPE for Super Loops
• Integrable spin chains and scattering amplitudes
• A simple collinear limit of scattering amplitudes at strong coupling
• The Two-Loop Remainder Function for Eight and Nine Particles
• Heptagon Amplitude in the Multi-Regge Regime
• The Two-Loop Symbol of all Multi-Regge Regions
• The Excited Hexagon Reloaded
• Hexagon POPE: effective particles and tree level resummation
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory in multi-Regge kinematics: Conformal Regge cut contribution
• Scattering amplitudes at strong coupling for 4K gluons
• All two-loop MHV remainder functions in multi-Regge kinematics
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Systematics of the Multi-Regge Three-Loop Symbol
• The Multi-Regge Limit from the Wilson Loop OPE

Cited by in corpus (2)

• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling