g-Functions and gluon scattering amplitudes at strong coupling

Abstract

We study gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills theory at strong coupling by calculating the area of the minimal surfaces in AdS_3 based on the associated thermodynamic Bethe ansatz system. The remainder function of the amplitudes is computed by evaluating the free energy, the T- and Y-functions of the homogeneous sine-Gordon model. Using conformal field theory (CFT) perturbation, we examine the mass corrections to the free energy around the CFT point corresponding to the regular polygonal Wilson loop. Based on the equivalence between the T-functions and the g-functions, which measure the boundary entropy, we calculate corrections to the T- and Y-functions as well as express them at the CFT point by the modular S-matrix. We evaluate the remainder function around the CFT point for 8 and 10-point amplitudes explicitly and compare these analytic expressions with the 2-loop formulas. The two rescaled remainder functions show very similar power series structures.

51 pages, 4 figures, v2: some comments and references added, based on the published version, v3: minor changes

References in corpus (12)

• 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
• Form factors at strong coupling via a Y-system
• Bootstrapping Null Polygon Wilson Loops
• Analytic Results for MHV Wilson Loops
• A Two-Loop Octagon Wilson Loop in N = 4 SYM
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Reflection factors and exact g-functions for purely elastic scattering theories
• On the normalization of the partition function of Bethe Ansatz systems

Cited by in corpus (15)

• Hexagon functions and the three-loop remainder function
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• Wilson loop OPE, analytic continuation and multi-Regge limit
• Multi-Regge Limit of the n-Gluon Bubble Ansatz
• Bootstrapping six-gluon scattering in planar $\mathcal{N}=4$ super-Yang-Mills theory
• ODE/IM correspondence and modified affine Toda field equations
• T-functions and multi-gluon scattering amplitudes
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• ODE/IM correspondence for modified $B_2^{(1)}$ affine Toda field equation
• Exact mass-coupling relation for the homogeneous sine-Gordon model
• 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
• Quantum Wronskian approach to six-point gluon scattering amplitudes at strong coupling
• Gluon scattering amplitudes from gauge/string duality and integrability