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    On the large order behavior of Φ 4 4

    We continue the rigorous study of the large order behavior of the perturbation series for the ϕ4 model in 4 dimensions started in [1]. In this paper we prove a result announced in [1]. We show that the exact radi...

    F. David, J. Feldman, V. Rivasseau in Communications in Mathematical Physics (1988)

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    Construction and Borel summability of infrared Φ 4 4 by a phase space expansion

    We construct the thermodynamic limit of the critical (massless) φ4 model in 4 dimensions with an ultraviolet cutoff by means of a “partly renormalized” phase space expansion. This expansion requires in a natural ...

    J. Feldman, J. Magnen, V. Rivasseau, R. Sénéor in Communications in Mathematical Physics (1987)

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    Bounds on completely convergent Euclidean Feynman graphs

    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 o...

    J. Feldman, J. Magnen, V. Rivasseau, R. Sénéor in Communications in Mathematical Physics (1985)

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    Bounds on renormalized Feynman graphs

    We prove two bounds on the value of renormalized Euclidean Feynman graphs. One is a relatively crude but widely applicable bound; the other a finer bound applicable toφ 4 4 ...

    J. Feldman, J. Magnen, V. Rivasseau, R. Sénéor in Communications in Mathematical Physics (1985)