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

Research output: Contribution to journal › Article › 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.

Original language	English
Pages (from-to)	396-401
Number of pages	6
Journal	Journal of Mathematical Physics
Volume	14
Issue number	3
DOIs	https://doi.org/10.1063/1.1666327
Publication status	Published - 1973
Externally published	Yes

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title = "Differential equations for one-loop generalized Feynman integrals",

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",

year = "1973",

doi = "10.1063/1.1666327",

language = "English",

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journal = "Journal of Mathematical Physics",

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AU - Barucchi, G.

AU - Ponzano, G.

PY - 1973

Y1 - 1973

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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.

UR - https://www.scopus.com/pages/publications/36849112989

U2 - 10.1063/1.1666327

DO - 10.1063/1.1666327

M3 - Article

SN - 0022-2488

VL - 14

SP - 396

EP - 401

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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