Perturbative renormalization of massless φ44 with flow equations

Georg Keller; Christoph Kopper

doi:10.1007/BF02101931

Perturbative renormalization of massless φ₄⁴ with flow equations

Georg Keller
, Christoph Kopper

Max-Planck-Institut für Physik
Georg-August-Universität Göttingen

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

Perturbative renormalizability proofs in the Wilson-Polchinski renormalization group framework, based on flow equations, were so far restricted to massive theories. Here we extend them to Euclidean massless φ₄⁴. As a by-product of the proof we obtain bounds on the singularity of the Green functions at exceptional momenta in terms of the exceptionality of the latter. These bounds seem to be new and are quite sharp.

langue originale	Anglais
Pages (de - à)	515-532
Nombre de pages	18
journal	Communications in Mathematical Physics
Volume	161
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/BF02101931
état	Publié - 1 avr. 1994
Modification externe	Oui

Accès au document

10.1007/BF02101931

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Contient cette citation

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abstract = "Perturbative renormalizability proofs in the Wilson-Polchinski renormalization group framework, based on flow equations, were so far restricted to massive theories. Here we extend them to Euclidean massless φ44. As a by-product of the proof we obtain bounds on the singularity of the Green functions at exceptional momenta in terms of the exceptionality of the latter. These bounds seem to be new and are quite sharp.",

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AB - Perturbative renormalizability proofs in the Wilson-Polchinski renormalization group framework, based on flow equations, were so far restricted to massive theories. Here we extend them to Euclidean massless φ44. As a by-product of the proof we obtain bounds on the singularity of the Green functions at exceptional momenta in terms of the exceptionality of the latter. These bounds seem to be new and are quite sharp.

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