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Canonical and symplectic analysis of the Holst action in the G→ 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 → 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≠ 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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Cite

BibTeXRIS
BibTeX
@misc{perezaquino2026canonical,
  title = {{Canonical and symplectic analysis of the Holst action in the $G\rightarrow 0$ limit}},
  author = {Victor Julian Pérez-Aquino and Alberto Escalante},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17833},
  eprint = {2609.17833},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17833},
}
RIS
TY  - UNPB
TI  - Canonical and symplectic analysis of the Holst action in the G→ 0 limit
AU  - Victor Julian Pérez-Aquino
AU  - Alberto Escalante
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.17833
UR  - https://arxiv.org/abs/2609.17833
AB  - By using the Dirac and symplectic formalisms, the analysis of the Holst action in the G → 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≠ 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.
ER  -