On the degrees of freedom count on singular phase space submanifolds

Fuente: arXiv
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Auteur principal: Golovnev, Alexey
Format: Preprint
Publié: 2023
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author Golovnev, Alexey
author_facet Golovnev, Alexey
contents I discuss singular loci in the phase spaces of theories which lack globally well-defined numbers of dynamical modes. This is a topic which appears quite often in the recent literature on modified gravity. In particular, there were discussions about $R^2$ gravity around Minkowski space. It is a relatively simple case, and still there were some confusions. It clearly shows that one should be very accurate when trying to understand a potentially problematic theory through perturbations around a simply looking background. At the same time, many modern teleparallel approaches are laden with even more severe issues. Therefore, it is a topic which is certainly worth carefully thinking about.
format Preprint
id arxiv_https___arxiv_org_abs_2311_10690
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On the degrees of freedom count on singular phase space submanifolds
Golovnev, Alexey
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
I discuss singular loci in the phase spaces of theories which lack globally well-defined numbers of dynamical modes. This is a topic which appears quite often in the recent literature on modified gravity. In particular, there were discussions about $R^2$ gravity around Minkowski space. It is a relatively simple case, and still there were some confusions. It clearly shows that one should be very accurate when trying to understand a potentially problematic theory through perturbations around a simply looking background. At the same time, many modern teleparallel approaches are laden with even more severe issues. Therefore, it is a topic which is certainly worth carefully thinking about.
title On the degrees of freedom count on singular phase space submanifolds
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
url https://arxiv.org/abs/2311.10690