Work

Canonical and symplectic analysis of the Holst action in the $G\rightarrow 0$ limit

Year: 2026
Type: preprint
Abstract: By using the Dirac and symplectic formalisms, the analysis of the Holst action in the $G \rightarrow 0$ limit is performed. We study the theory's full canonical structure and symmetries. In particular, we focus on the cases $γ= i$ and $γ\neq i$, aiming to obtain Smolin's auto-self-dual model in terms of the Ashtekar variables and a Barbero-type formulation. We then perform the symplectic analysis and discuss the principal insight of these formalisms.
Language: English
Open Access status: green
OpenAlex ID: W7213530270
Cites: 6
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Related to: 10