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arxiv: 1705.03545 · v2 · pith:LAR5ZEI6new · submitted 2017-05-09 · ✦ hep-th

Gluing Ladders into Fishnets

Benjamin Basso , Lance J. Dixon This is my paper
classification ✦ hep-th
keywords combinationsfishnetintegralsladderalwaysbuiltclassicalcompute
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We use integrability at weak coupling to compute fishnet diagrams for four-point correlation functions in planar $\phi^4$ theory. The results are always multi-linear 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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