Gluing Ladder Feynman Diagrams into Fishnets

Basso, Benjamin; Dixon, Lance J.

doi:10.1103/PhysRevLett.119.071601

Title: Gluing Ladder Feynman Diagrams into Fishnets

Journal Article · Mon Aug 14 00:00:00 EDT 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.119.071601· OSTI ID:1389318

Basso, Benjamin ^[1]; Dixon, Lance J. ^[2]

PSL Research Univ., Paris (France)
SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States); Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics

We use integrability at weak coupling to compute fishnet diagrams for four-point correlation functions in planar Φ ⁴ theory. Our 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, which leads to a natural conjecture for any fishnet diagram as the determinant of a matrix of ladder integrals.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE; National Science Foundation (NSF)

Grant/Contract Number:: AC02–76SF00515; NSF PHY-1125915

OSTI ID:: 1389318

Alternate ID(s):: OSTI ID: 1375051

Report Number(s):: SLAC-PUB-16967; PRLTAO; TRN: US1702819

Journal Information:: Physical Review Letters, Vol. 119, Issue 7; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 62 works

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Graphical functions in parametric space Golz, Marcel; Panzer, Erik; Schnetz, Oliver arXiv https://doi.org/10.48550/arxiv.1509.07296	text	January 2015
Clustering and the Three-Point Function Jiang, Yunfeng; Komatsu, Shota; Kostov, Ivan arXiv https://doi.org/10.48550/arxiv.1604.03575	text	January 2016
Bootstrapping a Five-Loop Amplitude Using Steinmann Relations Caron-Huot, Simon; Dixon, Lance J.; McLeod, Andrew arXiv https://doi.org/10.48550/arxiv.1609.00669	text	January 2016
Hexagonalization of Correlation Functions Fleury, Thiago; Komatsu, Shota arXiv https://doi.org/10.48550/arxiv.1611.05577	text	January 2016
Heptagons from the Steinmann Cluster Bootstrap Dixon, Lance J.; Drummond, James; Harrington, Thomas arXiv https://doi.org/10.48550/arxiv.1612.08976	text	January 2016
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Numbers and Functions in Quantum Field Theory Schnetz, Oliver arXiv https://doi.org/10.48550/arxiv.1606.08598	text	January 2016
Yangian Symmetry for Fishnet Feynman Graphs Chicherin, Dmitry; Kazakov, Vladimir; Loebbert, Florian arXiv https://doi.org/10.48550/arxiv.1708.00007	text	January 2017
The Double Pentaladder Integral to All Orders Caron-Huot, Simon; Dixon, Lance J.; von Hippel, Matt arXiv https://doi.org/10.48550/arxiv.1806.01361	text	January 2018
Generalized Fishnets and Exact Four-Point Correlators in Chiral CFT$_4$ Kazakov, Vladimir; Olivucci, Enrico; Preti, Michelangelo arXiv https://doi.org/10.48550/arxiv.1901.00011	text	January 2019
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