Feynman Polytopes and the Tropical Geometry of UV and IR Divergences

We introduce a class of polytopes that concisely capture the structure of UV and IR divergences of general Feynman integrals in Schwinger parameter space, treating them in a unified way as worldline segments shrinking and expanding at different relative rates. While these polytopes conventionally ar...

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Veröffentlicht in:	arXiv.org 2022-06
Hauptverfasser:	Arkani-Hamed, Nima, Hillman, Aaron, Mizera, Sebastian
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorial analysis Computational geometry Cones Convexity Hulls Linear functions Mathematical analysis Physics - High Energy Physics - Phenomenology Physics - High Energy Physics - Theory Polynomials Polytopes
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