A multiple commutator formula for the sum of Feynman diagrams

C. S. Lam; K. F. Liu

doi:10.1016/S0550-3213(96)00548-2

A multiple commutator formula for the sum of Feynman diagrams

C. S. Lam, K. F. Liu

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

In the presence of a large parameter, such as mass or energy, leading behavior of individual Feynman diagrams often get canceled in the sum. This is known to happen in large-N_c QCD in the presence of a baryon, and also in the case of high-energy electron-electron as well as quark-quark scatterings. We present an exact combinatorial formula, involving multiple commutators of the vertices, which can be used to compute such cancelations. It is a non-abelian generalization of the eikonal formula, and will be applied in subsequent publications to study the consistency of large-N_c QCD involving baryons, as well as high-energy quark-quark scattering in ordinary QCD.

Original language	English
Pages (from-to)	514-530
Number of pages	17
Journal	Nuclear Physics B
Volume	483
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(96)00548-2
State	Published - Jan 6 1997

Bibliographical note

Funding Information:
This work was initiated during a visit of C.S.L. to the University of Kentucky. He would like to thank his colleagues there for hospitality. He also thanks Y.J. Feng for drawing the figures in the paper. The research by CSL is supported in part by the Natural Science and Engineering Research Council of Canada, and the Fonds pour la Formation de Chercheurs et l'Aide ~t la Recherche of Qurbec, and the research by KFL is supported by USDOE grant DE-FG05-84ER40154.

Keywords

Eikonal formula
Non-abelian
QCD

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0550-3213(96)00548-2

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title = "A multiple commutator formula for the sum of Feynman diagrams",

abstract = "In the presence of a large parameter, such as mass or energy, leading behavior of individual Feynman diagrams often get canceled in the sum. This is known to happen in large-Nc QCD in the presence of a baryon, and also in the case of high-energy electron-electron as well as quark-quark scatterings. We present an exact combinatorial formula, involving multiple commutators of the vertices, which can be used to compute such cancelations. It is a non-abelian generalization of the eikonal formula, and will be applied in subsequent publications to study the consistency of large-Nc QCD involving baryons, as well as high-energy quark-quark scattering in ordinary QCD.",

keywords = "Eikonal formula, Non-abelian, QCD",

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note = "Funding Information: This work was initiated during a visit of C.S.L. to the University of Kentucky. He would like to thank his colleagues there for hospitality. He also thanks Y.J. Feng for drawing the figures in the paper. The research by CSL is supported in part by the Natural Science and Engineering Research Council of Canada, and the Fonds pour la Formation de Chercheurs et l'Aide ~t la Recherche of Qurbec, and the research by KFL is supported by USDOE grant DE-FG05-84ER40154.",

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AU - Lam, C. S.

AU - Liu, K. F.

N1 - Funding Information: This work was initiated during a visit of C.S.L. to the University of Kentucky. He would like to thank his colleagues there for hospitality. He also thanks Y.J. Feng for drawing the figures in the paper. The research by CSL is supported in part by the Natural Science and Engineering Research Council of Canada, and the Fonds pour la Formation de Chercheurs et l'Aide ~t la Recherche of Qurbec, and the research by KFL is supported by USDOE grant DE-FG05-84ER40154.

PY - 1997/1/6

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N2 - In the presence of a large parameter, such as mass or energy, leading behavior of individual Feynman diagrams often get canceled in the sum. This is known to happen in large-Nc QCD in the presence of a baryon, and also in the case of high-energy electron-electron as well as quark-quark scatterings. We present an exact combinatorial formula, involving multiple commutators of the vertices, which can be used to compute such cancelations. It is a non-abelian generalization of the eikonal formula, and will be applied in subsequent publications to study the consistency of large-Nc QCD involving baryons, as well as high-energy quark-quark scattering in ordinary QCD.

AB - In the presence of a large parameter, such as mass or energy, leading behavior of individual Feynman diagrams often get canceled in the sum. This is known to happen in large-Nc QCD in the presence of a baryon, and also in the case of high-energy electron-electron as well as quark-quark scatterings. We present an exact combinatorial formula, involving multiple commutators of the vertices, which can be used to compute such cancelations. It is a non-abelian generalization of the eikonal formula, and will be applied in subsequent publications to study the consistency of large-Nc QCD involving baryons, as well as high-energy quark-quark scattering in ordinary QCD.

KW - Eikonal formula

KW - Non-abelian

KW - QCD

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VL - 483

SP - 514

EP - 530

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

A multiple commutator formula for the sum of Feynman diagrams

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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