Yuji Satoh (University of Tsukuba, Japan): Gluon scattering amplitudes from gauge/string duality and integrability
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Europe/Budapest
Tanácsterem
Tanácsterem
Description
By the gauge/string duality, gluon scattering amplitudes of N=4 super
Yang-Mills theory at strong coupling are given by the area of minimal
surfaces
in anti-de Sitter space. These minimal surfaces are described by certain
integral equations. We observe a general connection between these integral
equations and the thermodynamic Bethe ansatz (TBA) equations for
the homogeneous sine-Gordon (HSG) model. By calculating the g-functions
(boundary entropy) and the free energy of the HSG model, we also derive
analytic expansions of the scattering amplitudes around kinematic points
corresponding to the high-temperature limit of the TBA equations. We find
that
appropriately rescaled remainder functions at strong coupling are very close
to those at 2 loops.
