Status of Intersection Theory and Feynman Integrals

Mizera, Sebastian

doi:10.22323/1.383.0016

Title: Status of Intersection Theory and Feynman Integrals

Journal Article · 15 February 2022 · PoS - Proceedings of Science

DOI: https://doi.org/10.22323/1.383.0016 · OSTI ID:1839668

Mizera, Sebastian ^[1]

Institute for Advanced Study, Princeton, NJ (United States); Institute for Advanced Study

Here, we give a pedagogical review of the recently-introduced notion of a "scalar product" between Feynman integrals and how it helps us understand the analytic structure of the perturbative S-matrix.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009988

OSTI ID:: 1839668

Journal Information:: PoS - Proceedings of Science, Journal Name: PoS - Proceedings of Science Vol. 383; ISSN 1824-8039

Publisher:: SISSACopyright Statement

Country of Publication:: United States

Language:: English

References (12)

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Vector Space of Feynman Integrals and Multivariate Intersection Numbers Frellesvig, Hjalte; Gasparotto, Federico; Mandal, Manoj K. arXiv https://doi.org/10.48550/arxiv.1907.02000	text	January 2019
Gauss-Manin connections of Schläfli type for hypersphere arrangements Aomoto, Kazuhiko Annales de l’institut Fourier, Vol. 53, Issue 4 https://doi.org/10.5802/aif.1970	journal	January 2003

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Morse homology: orientation of the moduli space of gradient flow lines, coherence and applications Giroux, Mathieu arXiv https://doi.org/10.48550/arxiv.2007.03206	preprint	January 2020

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