Abstract
We use integrability at weak coupling to compute fishnet diagrams for four-point correlation functions in planar ϕ^{4} theory. The results are always multilinear combinations of ladder integrals, which are in turn built out of classical polylogarithms. The Steinmann relations provide a powerful constraint on such linear combinations, leading to a natural conjecture for any fishnet diagram as the determinant of a matrix of ladder integrals.
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