Quantum Wronskian approach to six-point gluon scattering amplitudes at strong coupling

Abstract

We study the six-point gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling based on the twisted Z_4-symmetric integrable model. The lattice regularization allows us to derive the associated thermodynamic Bethe ansatz (TBA) equations as well as the functional relations among the Q-/T-/Y-functions. The quantum Wronskian relation for the Q-/T-functions plays an important role in determining a series of the expansion coefficients of the T-/Y-functions around the UV limit, including the dependence on the twist parameter. Studying the CFT limit of the TBA equations, we derive the leading analytic expansion of the remainder function for the general kinematics around the limit where the dual Wilson loops become regular-polygonal. We also compare the rescaled remainder functions at strong coupling with those at two, three and four loops, and find that they are close to each other along the trajectories parameterized by the scale parameter of the integrable model.

arXiv comment30 pages, 8 figures; (v2) a reference added

References in corpus (45)

• Gluon scattering amplitudes at strong coupling
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Classical Polylogarithms for Amplitudes and Wilson Loops
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Magic identities for conformal four-point integrals
• Integrable Structure of Conformal Field Theory, Quantum KdV Theory and Thermodynamic Bethe Ansatz
• Numerical evaluation of multiple polylogarithms
• Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
• The ODE/IM Correspondence
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Thermodynamic Bubble Ansatz
• Y-system for Scattering Amplitudes
• Integrable Quantum Field Theories in Finite Volume: Excited State Energies
• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• The Two-Loop Hexagon Wilson Loop in N = 4 SYM
• An Operator Product Expansion for Polygonal null Wilson Loops
• Notes on the scattering amplitude / Wilson loop duality
• 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
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• The Symmetric Space and Homogeneous sine-Gordon Theories
• g-function flow in perturbed boundary conformal field theories
• Bethe Equations "on the Wrong Side of Equator"
• Quantum Sine(h)-Gordon Model and Classical Integrable Equations
• On the collinear limit of scattering amplitudes at strong coupling
• Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras I: Type B_r
• Wronskian Solution for AdS/CFT Y-system
• On nonequilibrium states in QFT model with boundary interaction
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras II: Types C_r, F_4, and G_2
• Introduction to the GiNaC Framework for Symbolic Computation within the C++ Programming Language
• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• Simplicity of Polygon Wilson Loops in N=4 SYM
• Reflection factors and exact g-functions for purely elastic scattering theories
• Six-point gluon scattering amplitudes from Z_4-symmetric integrable model
• g-Functions and gluon scattering amplitudes at strong coupling
• T-functions and multi-gluon scattering amplitudes
• The Excited Hexagon Reloaded
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• Exact conserved quantities on the cylinder II: off-critical case

Cited by in corpus (4)

• Wilson loop OPE, analytic continuation and multi-Regge limit
• Massive ODE/IM Correspondence and Non-linear Integral Equations for $A_r^{(1)}$-type modified Affine Toda Field Equations
• On the mass-coupling relation of multi-scale quantum integrable models
• MHV amplitudes at strong coupling and linearized TBA equations