OPE in planar QCD from integrability

TL;DR

This paper leverages integrability in planar QCD to derive a determinant formula for specific structure constants in the operator product expansion of self-dual field strength operators.

Contribution

It introduces a novel application of integrability to compute structure constants in planar QCD's OPE, providing explicit determinant expressions.

Findings

Derived a determinant expression for structure constants

Applied integrability to simplify OPE calculations

Enhanced understanding of operator interactions in planar QCD

Abstract

We consider the operator product expansion of local single-trace operators composed of the self-dual components of the field strength tensor in planar QCD. Using the integrability of the one-loop matrix of anomalous dimensions of such operators, we obtain a determinant expression for certain tree-level structure constants in the OPE.