منابع مشابه
Leading RG logs in φ 4 theory
We find the leading RG logs in φ4 theory for any Feynman diagram with 4 external edges. We obtain the result in two ways. The first way is to calculate the relevant terms in Feynman integrals. The second way is to use the RG invariance based on the Lie algebra of graphs introduced by Connes and Kreimer. The non-RG logs, such as (ln s/t)n, are discussed.
متن کاملΦ4 Theory Is Trivial
Perturbative study of many quantum field models has lead to many impressive results: beta functions for QED and for the Φ4 theory are known up to the fifth order whereas that of QCD up to the fourth order [1]-[7]. These studies however are based on the expansion in the small coupling constant such that the behavior at large couplings is completely missed. Although the possibility of a perturbat...
متن کاملar X iv : h ep - t h / 03 07 30 1 v 1 3 1 Ju l 2 00 3 ITEP - TH - 43 / 03 Leading RG logs in φ 4 theory
We find the leading RG logs in φ4 theory for any Feynman diagram with 4 external edges. We obtain the result in two ways. The first way is to calculate the relevant terms in Feynman integrals. The second way is to use the RG invariance based on the Lie algebra of graphs introduced by Connes and Kreimer. The non-RG logs, such as (ln s/t)n, are discussed.
متن کاملThe (φ4)2 Field Theory as a Classical Ising Model
We approximate a (spatially cutoff) (φ4)2 Euclidean field theory by an ensemble of spin 1/2 Ising spins with ferromagnetic pair interactions. This approximation is used to prove a Lee-Yang theorem and GHS type correlation inequalities for the (0 4 ) 2 theory. Application of these results are presented.
متن کاملGeometry of Theory Space and Rg Flows *
The space of couplings of a given theory is the arena of interest in this article. Equipped with a metric ansatz akin to the Fisher information matrix in the space of parameters in statistics (similar metrics in physics are the Zamolodchikov metric or the O'Connor– Stephens metric) we investigate the geometry of theory space through a study of specific examples. We then look into renormalisatio...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2004
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2003.10.043