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Article
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...
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Article
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 ...
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Article
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...
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Article
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 ...