Bounded Collection of Feynman Integral Calabi-Yau Geometries.
Phys Rev Lett
; 122(3): 031601, 2019 Jan 25.
Article
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| MEDLINE
| ID: mdl-30735423
ABSTRACT
We define the rigidity of a Feynman integral to be the smallest dimension over which it is nonpolylogarithmic. We prove that massless Feynman integrals in four dimensions have a rigidity bounded by 2(L-1) at L loops provided they are in the class 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 φ^{4} theory that saturate our predicted bound in rigidity at all loop orders.
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Phys Rev Lett
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2019
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Article
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Dinamarca