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• W2897774302 abstract "We define the rigidity of a Feynman integral to be the smallest dimension over which it is non-polylogarithmic. We argue that massless Feynman integrals in four dimensions have a rigidity bounded by 2(L-1) at L loops, and we show that this bound may be saturated for integrals that we call marginal: those with (L+1)D/2 propagators in (even) D dimensions. We show that marginal Feynman integrals in D dimensions generically involve Calabi-Yau geometries, and we give examples of finite four-dimensional Feynman integrals in massless $phi^4$ theory that saturate our predicted bound in rigidity at all loop orders." @default.
• W2897774302 created "2018-10-26" @default.
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• W2897774302 date "2019-01-24" @default.
• W2897774302 modified "2023-10-12" @default.
• W2897774302 title "Bounded Collection of Feynman Integral Calabi-Yau Geometries" @default.
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• W2897774302 doi "https://doi.org/10.1103/physrevlett.122.031601" @default.
• W2897774302 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/30735423" @default.
• W2897774302 hasPublicationYear "2019" @default.
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