Null octagon from Deift-Zhou steepest descent

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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 languageEnglish (US)
Article number115844
JournalNuclear Physics B
StatePublished - Jul 2022

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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