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- W2090945154 abstract "We use the methods of [1] to show that the planar part of the renormalized perturbation theory forϕ 4 4 -euclidean field theory is Borel-summable on the asymptotically free side of the theory. The Borel sum can therefore be taken as a rigorous definition of theN→∞ limit of a massiveN×N matrix model with a +trgϕ 4 interaction, hence with “wrong sign” ofg. Our construction is relevant for a solution of the ultra-violet problem for planar QCD. We also propose a program for studying the structure of the “renormalons” singularities within the planar world." @default.
- W2090945154 created "2016-06-24" @default.
- W2090945154 creator A5001854609 @default.
- W2090945154 date "1984-12-01" @default.
- W2090945154 modified "2023-09-24" @default.
- W2090945154 title "Construction and Borel summability of planar 4-dimensional euclidean field theory" @default.
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- W2090945154 doi "https://doi.org/10.1007/bf01210833" @default.
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