Area bounds and gauge fixing: alternative canonical variables for loop gravity
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866913013629452288 |
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| author | Garay, Iñaki Rodríguez-González, Sergio Vera, Raül |
| author_facet | Garay, Iñaki Rodríguez-González, Sergio Vera, Raül |
| contents | We use a canonical parametrization of twisted geometries describing the classical phase space of loop quantum gravity on a fixed graph, and establish its explicit correspondence with the associated frame bases and spinorial descriptions. Applied to the two-vertex model, this framework yields analytical bounds on the evolution of the total area, proving the existence of a non-vanishing lower bound at finite times. These findings, previously observed only numerically, suggest a bounce-like behavior and highlight the usefulness of these variables for the study of more general configurations. As a second result, the canonical variables are shown to simplify the gauge-fixing procedure, generalizing previous results restricted to two-vertex models with four links. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06572 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Area bounds and gauge fixing: alternative canonical variables for loop gravity Garay, Iñaki Rodríguez-González, Sergio Vera, Raül General Relativity and Quantum Cosmology We use a canonical parametrization of twisted geometries describing the classical phase space of loop quantum gravity on a fixed graph, and establish its explicit correspondence with the associated frame bases and spinorial descriptions. Applied to the two-vertex model, this framework yields analytical bounds on the evolution of the total area, proving the existence of a non-vanishing lower bound at finite times. These findings, previously observed only numerically, suggest a bounce-like behavior and highlight the usefulness of these variables for the study of more general configurations. As a second result, the canonical variables are shown to simplify the gauge-fixing procedure, generalizing previous results restricted to two-vertex models with four links. |
| title | Area bounds and gauge fixing: alternative canonical variables for loop gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2604.06572 |