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Bounds on completely convergent Euclidean Feynman graphs

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Abstract

LetG be a Euclidean Feynman graph containingL(G) lines. We prove that ifG has massive propagators and does not contain any divergent subgraphs its value is bounded byK L(G). We also prove the infrared analogue of this bound.

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Author notes

  1. J. Feldman

    Present address: Department of Mathematics, University of British Columbia, V6T 1Y4, Vancouver, B.C., Canada

Authors and Affiliations

  1. Centre de Physique Théorique de l'Ecole Polytechnique, Plateau de Palaiseau, F-91128, Palaiseau, Cedex, France

    J. Feldman, J. Magnen, V. Rivasseau & R. Sénéor

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  1. J. Feldman
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  2. J. Magnen
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  3. V. Rivasseau
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  4. R. Sénéor
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Communicated by J. Lascoux

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Feldman, J., Magnen, J., Rivasseau, V. et al. Bounds on completely convergent Euclidean Feynman graphs. Commun.Math. Phys. 98, 273–288 (1985). https://doi.org/10.1007/BF01220514

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  • DOI: https://doi.org/10.1007/BF01220514

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