The 't Hooft reparametrization respects Borel summability

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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.

Original languageEnglish
Pages (from-to)1919-1920
Number of pages2
JournalJournal of Mathematical Physics
Volume32
Issue number7
DOIs
Publication statusPublished - 1 Jan 1991
Externally publishedYes

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