Abstract
A special class of four-point correlation functions in the maximally supersymmetric Yang-Mills theory is given by the square of the Fredholm determinant of a generalized Bessel kernel. In this note, we re-express its logarithmic derivatives in terms of a two-dimensional Riemann-Hilbert problem. We solve the latter in the null limit making use of the Deift-Zhou steepest descent. We reproduce the exact octagonal anomalous dimension in 't Hooft coupling and provide its novel formulation as the convolution of a non-linear quasiclassical phase with the Fermi distribution in the limit of the infinite chemical potential.
Original language | English (US) |
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Article number | 115844 |
Journal | Nuclear Physics B |
Volume | 980 |
DOIs | |
State | Published - Jul 2022 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics