Large momentum bounds from flow equations

C. Kopper; F. Meunier

doi:10.1007/s00023-002-8623-8

Large momentum bounds from flow equations

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	435-449
Number of pages	15
Journal	Annales Henri Poincare
Volume	3
Issue number	3
DOIs	https://doi.org/10.1007/s00023-002-8623-8
Publication status	Published - 1 Jan 2002

Access to Document

10.1007/s00023-002-8623-8

Cite this

@article{52f0ec3d52ac4737a7cf3a66cee927c0,

title = "Large momentum bounds from flow equations",

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.",

author = "C. Kopper and F. Meunier",

year = "2002",

month = jan,

day = "1",

doi = "10.1007/s00023-002-8623-8",

language = "English",

volume = "3",

pages = "435--449",

journal = "Annales Henri Poincare",

issn = "1424-0637",

publisher = "Birkhauser",

number = "3",

}

TY - JOUR

T1 - Large momentum bounds from flow equations

AU - Kopper, C.

AU - Meunier, F.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - 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.

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.

U2 - 10.1007/s00023-002-8623-8

DO - 10.1007/s00023-002-8623-8

M3 - Article

AN - SCOPUS:0036436130

SN - 1424-0637

VL - 3

SP - 435

EP - 449

JO - Annales Henri Poincare

JF - Annales Henri Poincare

IS - 3

ER -

Large momentum bounds from flow equations

Abstract

Access to Document

Fingerprint

Cite this