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arXiv · 2609.17833

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

Victor Julian Pérez-Aquino·Alberto Escalante
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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.

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Victor Julian Pérez-Aquino, Alberto Escalante. 2026-09-15. Canonical and symplectic analysis of the Holst action in the $G\rightarrow 0$ limit. https://arxiv.org/abs/2609.17833

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