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

By Germany D-22603 Hamburg DESY Hamburg Yasuyuki HatsudaDESY Theory Group, Japan) Tokyo 152-8551 Tokyo Institute of Technology Katsushi Ito(Department of Physics, Japan) Ibaraki 305-8571 University of Tsukuba Yuji Satoh(Institute of Physics and Japan) Shizuoka 422-8529 Shizuoka University Junji Suzuki(Department of Physics

Abstract

We study the six-point gluon scattering amplitudes in N $$ \mathcal{N} $$ = 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

Year: 2014
DOI identifier: 10.1007/JHEP08(2014)162
OAI identifier: oai:www.openaccessrepository.it:8215

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