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

Physics And Astronomy

Producción científica: Article › revisión exhaustiva

12 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	514-530
Número de páginas	17
Publicación	Nuclear Physics B
Volumen	483
N.º	1-2
DOI	https://doi.org/10.1016/S0550-3213(96)00548-2
Estado	Published - ene 6 1997

Financiación

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.

Financiadores	Número del financiador
Fonds pour la Formation de Chercheurs et l'Aide à la Recherche
U.S. Department of Energy	DE-FG05-84ER40154

ASJC Scopus subject areas

Nuclear and High Energy Physics

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AU - Liu, K. F.

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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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SN - 0550-3213

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JO - Nuclear Physics B

JF - Nuclear Physics B

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ER -

A multiple commutator formula for the sum of Feynman diagrams

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