Bounded Collection of Feynman Integral Calabi-Yau Geometries

Research output: Contribution to journalJournal articlepeer-review

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Bounded Collection of Feynman Integral Calabi-Yau Geometries. / Bourjaily, Jacob L.; McLeod, Andrew J.; Von Hippel, Matt; Wilhelm, Matthias.

In: Physical Review Letters, Vol. 122, No. 3, 031601, 24.01.2019.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Bourjaily, JL, McLeod, AJ, Von Hippel, M & Wilhelm, M 2019, 'Bounded Collection of Feynman Integral Calabi-Yau Geometries', Physical Review Letters, vol. 122, no. 3, 031601. https://doi.org/10.1103/PhysRevLett.122.031601

APA

Bourjaily, J. L., McLeod, A. J., Von Hippel, M., & Wilhelm, M. (2019). Bounded Collection of Feynman Integral Calabi-Yau Geometries. Physical Review Letters, 122(3), [031601]. https://doi.org/10.1103/PhysRevLett.122.031601

Vancouver

Bourjaily JL, McLeod AJ, Von Hippel M, Wilhelm M. Bounded Collection of Feynman Integral Calabi-Yau Geometries. Physical Review Letters. 2019 Jan 24;122(3). 031601. https://doi.org/10.1103/PhysRevLett.122.031601

Author

Bourjaily, Jacob L. ; McLeod, Andrew J. ; Von Hippel, Matt ; Wilhelm, Matthias. / Bounded Collection of Feynman Integral Calabi-Yau Geometries. In: Physical Review Letters. 2019 ; Vol. 122, No. 3.

Bibtex

@article{435c4ecd9c9f4d48becaaff39aa39b80,
title = "Bounded Collection of Feynman Integral Calabi-Yau Geometries",
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 φ4 theory that saturate our predicted bound in rigidity at all loop orders.",
author = "Bourjaily, {Jacob L.} and McLeod, {Andrew J.} and {Von Hippel}, Matt and Matthias Wilhelm",
year = "2019",
month = jan,
day = "24",
doi = "10.1103/PhysRevLett.122.031601",
language = "English",
volume = "122",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Bounded Collection of Feynman Integral Calabi-Yau Geometries

AU - Bourjaily, Jacob L.

AU - McLeod, Andrew J.

AU - Von Hippel, Matt

AU - Wilhelm, Matthias

PY - 2019/1/24

Y1 - 2019/1/24

N2 - 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 φ4 theory that saturate our predicted bound in rigidity at all loop orders.

AB - 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 φ4 theory that saturate our predicted bound in rigidity at all loop orders.

U2 - 10.1103/PhysRevLett.122.031601

DO - 10.1103/PhysRevLett.122.031601

M3 - Journal article

C2 - 30735423

AN - SCOPUS:85060643237

VL - 122

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 3

M1 - 031601

ER -

ID: 227488590