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

Thomas A. Ryttov; Robert Shrock

doi:10.1103/PhysRevD.102.056016

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

Thomas A. Ryttov, Robert Shrock

Institut for Fysik, Kemi og Farmaci

Stony Brook University

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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Abstract

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.

Originalsprog	Engelsk
Artikelnummer	056016
Tidsskrift	Physical Review D
Vol/bind	102
Udgave nummer	5
Antal sider	6
ISSN	2470-0010
DOI	https://doi.org/10.1103/PhysRevD.102.056016
Status	Udgivet - sep. 2020

Bibliografisk note

6 pages, latex

Dokumenter og links

10.1103/PhysRevD.102.056016Licens: CC BY

Open Access VersionForlagets udgivne version, 194 KBLicens: CC BY

SDU link

Tjek adgangen til materialet i Syddansk Universitetsbiblioteks søgemaskine

Citationsformater

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AB - 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.

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

Abstract

Bibliografisk note

Dokumenter og links

SDU link

Fingeraftryk

Citationsformater