Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space. / Bourjaily, Jacob L.; McLeod, Andrew J.; Vergu, Cristian; Volk, Matthias; von Hippel, Matt; Wilhelm, Matthias.

In: Journal of High Energy Physics, Vol. 2020, No. 1, 078, 01.01.2020.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Bourjaily, JL, McLeod, AJ, Vergu, C, Volk, M, von Hippel, M & Wilhelm, M 2020, 'Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space', Journal of High Energy Physics, vol. 2020, no. 1, 078. https://doi.org/10.1007/JHEP01(2020)078

APA

Bourjaily, J. L., McLeod, A. J., Vergu, C., Volk, M., von Hippel, M., & Wilhelm, M. (2020). Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space. Journal of High Energy Physics, 2020(1), [078]. https://doi.org/10.1007/JHEP01(2020)078

Vancouver

Bourjaily JL, McLeod AJ, Vergu C, Volk M, von Hippel M, Wilhelm M. Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space. Journal of High Energy Physics. 2020 Jan 1;2020(1). 078. https://doi.org/10.1007/JHEP01(2020)078

Author

Bourjaily, Jacob L. ; McLeod, Andrew J. ; Vergu, Cristian ; Volk, Matthias ; von Hippel, Matt ; Wilhelm, Matthias. / Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space. In: Journal of High Energy Physics. 2020 ; Vol. 2020, No. 1.

Bibtex

@article{3696f60f2edf464491d34a9094c84c87,
title = "Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space",
abstract = "It has recently been demonstrated that Feynman integrals relevant to a wide range of perturbative quantum field theories involve periods of Calabi-Yau manifolds of arbitrarily large dimension. While the number of Calabi-Yau manifolds of dimension three or higher is considerable (if not infinite), those relevant to most known examples come from a very simple class: degree-2k hypersurfaces in k-dimensional weighted projective space WP1,..,1,k. In this work, we describe some of the basic properties of these spaces and identify additional examples of Feynman integrals that give rise to hypersurfaces of this type. Details of these examples at three loops and of illustrations of open questions at four loops are included as supplementary material to this work.",
keywords = "Differential and Algebraic Geometry, Scattering Amplitudes",
author = "Bourjaily, {Jacob L.} and McLeod, {Andrew J.} and Cristian Vergu and Matthias Volk and {von Hippel}, Matt and Matthias Wilhelm",
year = "2020",
month = jan,
day = "1",
doi = "10.1007/JHEP01(2020)078",
language = "English",
volume = "2020",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space

AU - Bourjaily, Jacob L.

AU - McLeod, Andrew J.

AU - Vergu, Cristian

AU - Volk, Matthias

AU - von Hippel, Matt

AU - Wilhelm, Matthias

PY - 2020/1/1

Y1 - 2020/1/1

N2 - It has recently been demonstrated that Feynman integrals relevant to a wide range of perturbative quantum field theories involve periods of Calabi-Yau manifolds of arbitrarily large dimension. While the number of Calabi-Yau manifolds of dimension three or higher is considerable (if not infinite), those relevant to most known examples come from a very simple class: degree-2k hypersurfaces in k-dimensional weighted projective space WP1,..,1,k. In this work, we describe some of the basic properties of these spaces and identify additional examples of Feynman integrals that give rise to hypersurfaces of this type. Details of these examples at three loops and of illustrations of open questions at four loops are included as supplementary material to this work.

AB - It has recently been demonstrated that Feynman integrals relevant to a wide range of perturbative quantum field theories involve periods of Calabi-Yau manifolds of arbitrarily large dimension. While the number of Calabi-Yau manifolds of dimension three or higher is considerable (if not infinite), those relevant to most known examples come from a very simple class: degree-2k hypersurfaces in k-dimensional weighted projective space WP1,..,1,k. In this work, we describe some of the basic properties of these spaces and identify additional examples of Feynman integrals that give rise to hypersurfaces of this type. Details of these examples at three loops and of illustrations of open questions at four loops are included as supplementary material to this work.

KW - Differential and Algebraic Geometry

KW - Scattering Amplitudes

UR - http://www.scopus.com/inward/record.url?scp=85078083144&partnerID=8YFLogxK

U2 - 10.1007/JHEP01(2020)078

DO - 10.1007/JHEP01(2020)078

M3 - Journal article

AN - SCOPUS:85078083144

VL - 2020

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 1

M1 - 078

ER -

ID: 241752815