Journal Article

PUBDB-2024-07981

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
SISSA [Trieste]

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Please use a persistent id in citations: doi:10.1007/JHEP05(2024)018  doi:10.3204/PUBDB-2024-07981

Report No.: DESY-24-020; HU-EP-24/04-RTG; 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 γ$_{ϕ}$. These divergences cannot be removed by counterterms without reintroducing redundant operators.

Keyword(s): anomalous dimension ; Green function ; S-matrix ; effective field theory ; Effective Field Theories ; Renormalization Group

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:
; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; National-Konsortium ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Manohar, A. V. ; Pagès, J. ; Roosmale Nepveu, J. (Corresponding author)DESY*
Field Redefinitions and Infinite Field Anomalous Dimensions
[10.3204/PUBDB-2024-00666]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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