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arXiv · 2503.17834

Gauge preservation in renormalization for Yang-Mills and gravity theories

Osvaldo Santillán·Alejandro Morano
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Abstract

In the present work, multiplicative renormalization \cite{dixon} 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 of quantum gravity, for models such as \cite{dewitt}-\cite{stelle2}. These models are renormalizable but contain apparent instabilities leading to possible unitarity loss, an earlier analog is \cite{pais}. This systematic 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 \cite{mannheim1}-\cite{salve}.

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Osvaldo Santillán, Alejandro Morano. 2025-03-22. Gauge preservation in renormalization for Yang-Mills and gravity theories. https://arxiv.org/abs/2503.17834

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