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.
Highlights
Minimal surfaces in AdS with a null-polygonal boundary along the Wilson loop [1]
We study the six-point gluon scattering amplitudes in N = 4 super YangMills theory at strong coupling based on the twisted Z4-symmetric integrable model
This paper is organized as follows: in section 2, we review the thermodynamic Bethe ansatz (TBA)-system for the sixpoint gluon scattering amplitudes at strong coupling and express the remainder functions using Y-functions
Summary
The asymptotic behavior (2.17), together with the assumption of the analyticity of , ̃ in the strip These turn out be identical to the TBA equations for the Z4-symmetric integrable model [23,24,25] twisted by μ. The integrable model reduces to a free massive theory, and the free-energy part Afree and the Y-functions Yj(θ) are expanded by multiple integrals Via analytic continuation, this limit is relevant for the amplitudes in the Regge limit [37, 38]. We take an approach to the problem, which is different from any of the above, and is based on the integrable field theoretical structure proposed in [29]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
