The 't Hooft reparametrization respects Borel summability

Christoph Kopper

doi:10.1063/1.529206

The 't Hooft reparametrization respects Borel summability

Christoph Kopper

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

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

Résumé

In a renormalizable field theory with one coupling constant, one may redefine the coupling in the sense of formal power series such that the β-function in the new coupling consists of the first two terms only. It is shown that this change of coupling is Borel summable if the original β-function was Borel summable.

langue originale	Anglais
Pages (de - à)	1919-1920
Nombre de pages	2
journal	Journal of Mathematical Physics
Volume	32
Numéro de publication	7
Les DOIs	https://doi.org/10.1063/1.529206
état	Publié - 1 janv. 1991
Modification externe	Oui

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10.1063/1.529206

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abstract = "In a renormalizable field theory with one coupling constant, one may redefine the coupling in the sense of formal power series such that the β-function in the new coupling consists of the first two terms only. It is shown that this change of coupling is Borel summable if the original β-function was Borel summable.",

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The 't Hooft reparametrization respects Borel summability

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