Effect of Scheme Transformations on a Beta Function with Vanishing One-Loop Term

Thomas A. Ryttov, Robert Shrock

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It is commonly stated that because terms in the beta function of a theory at the level of ℓ≥3 loops and higher are scheme dependent, it is possible to define scheme transformations that can be used to remove these terms, at least in the vicinity of zero coupling. We prove that this is not, in general, possible in the situation where a beta function is not identically zero but has a vanishing one-loop term.

Original languageEnglish
Article number056016
JournalPhysical Review D. Particles and fields
Issue number5
Number of pages6
Publication statusPublished - Sep 2020


  • hep-th

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