https://doi.org/10.1140/epjp/s13360-025-06600-w
Review
Gauge preservation in renormalization for Yang–Mills and gravity theories
1
Instituto de Matemática Luis Santaló (IMAS) and CONICET, Ciudad Universitaria, 1428, Buenos Aires, Argentina
2
Instituto de Física de Buenos Aires (IFIBA) and Departamento de Física UBA, Ciudad Universitaria, 1428, Buenos Aires, Argentina
Received:
3
April
2025
Accepted:
29
June
2025
Published online:
30
July
2025
In the present work, multiplicative renormalization procedure for Yang-Mills theories is reviewed. While this subject is not new, it is suggested that a clear understanding of these methods leads to a systematic way for interpreting the counter terms needed for non multiplicative renormalization (Dixon and Taylor in Nucl Phys B 78:552, 1974) of quantum gravity, for models such as well known Stelle Model. Some of these models are renormalizable, however they contain apparent instabilities leading to possible unitarity loss. The systematic procedure discussed along the text may be interesting, especially in the modern context, since there are efforts for avoiding with those apparent instabilities by employing variants of the standard quantization methods.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
