Preprint

PUBDB-2024-00666

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Field Redefinitions and Infinite Field Anomalous Dimensions

Manohar, A. V. ; Pagès, J. ; Roosmale Nepveu, J. (Corresponding author)DESY*

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2024-00666

Report No.: DESY-24-020; arXiv:2402.08715

Abstract: Field redefinitions are commonly used to reduce the number of operators in the Lagrangian by removing redundant operators and transforming to a minimal operator basis. We give a general argument that such field redefinitions, while leaving the $S$-matrix invariant and consequently finite, lead not only to infinite Green's functions, but also to infinite field anomalous dimensions $\gamma_\phi$. These divergences cannot be removed by counterterms without reintroducing redundant operators.

Keyword(s): anomalous dimension ; Green function ; S-matrix ; effective field theory

Note: 10+6 pages, 2 figures

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. GRK 2575 - GRK 2575: Überdenken der Quantenfeldtheorie (417533893) (417533893)
3. ASYMMETRY - Essential Asymmetries of Nature (101086085) (101086085)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Manohar, A. V. ; Pagès, J. ; Roosmale Nepveu, J. (Corresponding author)DESY*
Field redefinitions and infinite field anomalous dimensions
Journal of high energy physics 2024(5), 18 (2024) [10.1007/JHEP05(2024)018]2024     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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