Six-point gluon scattering amplitudes from Z_4-symmetric integrable model

Abstract

We study six-point gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling by investigating the thermodynamic Bethe ansatz equations of the underlying Z_4-symmetric integrable model both analytically and numerically. By the conformal field theory (CFT) perturbation, we compute the free energy part of the remainder function with generic chemical potential near the CFT/small mass limit. Combining this with the expansion of the Y-functions, we obtain the remainder function near the small mass limit up to a function of the chemical potential, which can be evaluated numerically. We also find the leading corrections to the remainder function near the large mass limit. We confirm that these results are in good agreement with numerical computations.

29 pages, 11 figures, v2: physical interpretations added, a figure removed, to appear in JHEP

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Cited by in corpus (17)

• Hexagon functions and the three-loop remainder function
• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Wilson loop OPE, analytic continuation and multi-Regge limit
• Multi-Regge Limit of the n-Gluon Bubble Ansatz
• A simple collinear limit of scattering amplitudes at strong coupling
• g-Functions and gluon scattering amplitudes at strong coupling
• T-functions and multi-gluon scattering amplitudes
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• Massive ODE/IM Correspondence and Non-linear Integral Equations for $A_r^{(1)}$-type modified Affine Toda Field Equations
• Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at Strong Coupling
• On the mass-coupling relation of multi-scale quantum integrable models
• TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling
• MHV amplitudes at strong coupling and linearized TBA equations
• Quantum Wronskian approach to six-point gluon scattering amplitudes at strong coupling
• Gluon scattering amplitudes from gauge/string duality and integrability
• A short review on TBA equation and scattering amplitude/Wilson loop duality