Hidden diffeos in the Hamiltonian formulation of a background independent field theory
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917152842317824 |
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| author | G., J. Fernando Barbero Díaz, Bogar Margalef-Bentabol, Juan Villaseñor, Eduardo J. S. |
| author_facet | G., J. Fernando Barbero Díaz, Bogar Margalef-Bentabol, Juan Villaseñor, Eduardo J. S. |
| contents | We analyze from a geometric perspective the Hamiltonian formulation of a recent modification of the Husain-Kuchař model where, while preserving the connection as a dynamical variable, the other field is restricted to be the exterior covariant derivative of a Lie algebra-valued function. We prove that 3-dimensional diffeomorphisms can be accommodated among the local gauge transformations of the model in addition to the internal gauge symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12184 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hidden diffeos in the Hamiltonian formulation of a background independent field theory G., J. Fernando Barbero Díaz, Bogar Margalef-Bentabol, Juan Villaseñor, Eduardo J. S. General Relativity and Quantum Cosmology Mathematical Physics We analyze from a geometric perspective the Hamiltonian formulation of a recent modification of the Husain-Kuchař model where, while preserving the connection as a dynamical variable, the other field is restricted to be the exterior covariant derivative of a Lie algebra-valued function. We prove that 3-dimensional diffeomorphisms can be accommodated among the local gauge transformations of the model in addition to the internal gauge symmetries. |
| title | Hidden diffeos in the Hamiltonian formulation of a background independent field theory |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2507.12184 |