Large Momentum bounds from Flow Equations

Christoph Kopper; Frederic Meunier

doi:10.1007/s00023-002-8623-8

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arXiv · hep-th/0110120

Large Momentum bounds from Flow Equations

Christoph Kopper·Frederic Meunier

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Abstract

We analyse the large momentum behaviour of 4-dimensional massive euclidean Phi-4-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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Christoph Kopper, Frederic Meunier. 2001-10-13. Large Momentum bounds from Flow Equations. https://doi.org/10.1007/s00023-002-8623-8

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