Large momentum bounds from flow equations

C. Kopper; F. Meunier

doi:10.1007/s00023-002-8623-8

Large momentum bounds from flow equations

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Résumé

We analyze the large momentum behaviour of 4-dimensional massive euclidean φ⁴ theory using the flow equations of Wilson's renormalization group. The flow equations give access to a simple inductive proof of perturbative renormalizability. By sharpening the induction hypothesis we prove new and, as it seems, close to optimal bounds on the large momentum behaviour of the correlation functions. The bounds are related to what is generally called Weinberg's theorem.

langue originale	Anglais
Pages (de - à)	435-449
Nombre de pages	15
journal	Annales Henri Poincare
Volume	3
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s00023-002-8623-8
état	Publié - 1 janv. 2002

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abstract = "We analyze the large momentum behaviour of 4-dimensional massive euclidean φ4 theory using the flow equations of Wilson's renormalization group. The flow equations give access to a simple inductive proof of perturbative renormalizability. By sharpening the induction hypothesis we prove new and, as it seems, close to optimal bounds on the large momentum behaviour of the correlation functions. The bounds are related to what is generally called Weinberg's theorem.",

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AB - We analyze the large momentum behaviour of 4-dimensional massive euclidean φ4 theory using the flow equations of Wilson's renormalization group. The flow equations give access to a simple inductive proof of perturbative renormalizability. By sharpening the induction hypothesis we prove new and, as it seems, close to optimal bounds on the large momentum behaviour of the correlation functions. The bounds are related to what is generally called Weinberg's theorem.

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Large momentum bounds from flow equations

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