Differential equations for one-loop generalized Feynman integrals

G. Barucchi; G. Ponzano

doi:10.1063/1.1666327

Differential equations for one-loop generalized Feynman integrals

G. Barucchi, G. Ponzano

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

A system of (2^N-1) first-order linear homogeneous differential equations in each variable is derived for the generalized (with Speer λ parameters) Feynman integrals corresponding to the one-loop graph with N external lines. This system of differential equations is shown to belong to the class studied by Lappo-Danilevsky. A connection with the matrix representation of the monodromy group in all variables is pointed out.

Lingua originale	Inglese
pagine (da-a)	396-401
Numero di pagine	6
Rivista	Journal of Mathematical Physics
Volume	14
Numero di pubblicazione	3
DOI	https://doi.org/10.1063/1.1666327
Stato di pubblicazione	Pubblicato - 1973
Pubblicato esternamente	Sì

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10.1063/1.1666327

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abstract = "A system of (2N-1) first-order linear homogeneous differential equations in each variable is derived for the generalized (with Speer λ parameters) Feynman integrals corresponding to the one-loop graph with N external lines. This system of differential equations is shown to belong to the class studied by Lappo-Danilevsky. A connection with the matrix representation of the monodromy group in all variables is pointed out.",

author = "G. Barucchi and G. Ponzano",

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AU - Ponzano, G.

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AB - A system of (2N-1) first-order linear homogeneous differential equations in each variable is derived for the generalized (with Speer λ parameters) Feynman integrals corresponding to the one-loop graph with N external lines. This system of differential equations is shown to belong to the class studied by Lappo-Danilevsky. A connection with the matrix representation of the monodromy group in all variables is pointed out.

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DO - 10.1063/1.1666327

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VL - 14

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 3

ER -

Differential equations for one-loop generalized Feynman integrals

Abstract

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