Hamiltonian Reduction in Affine Principal Bundles
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917353580658688 |
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| author | Berbel, Miguel Ángel López, Marco Castrillón |
| author_facet | Berbel, Miguel Ángel López, Marco Castrillón |
| contents | This paper presents a Hamiltonian reduction procedure for field theories over affine principal bundles introducing a canonical identification to describe the reduced multisymplectic space without the introduction of a connection. The main goal is to provide a Hamiltonian analogue of the Lagrangian reduction theory developed in M. Castrillón López, P. M. Chacón, and P. L. García. J. Geom. Mech., 5(4):399-414, 2013. The core of this work lies in the derivation of this canonical identification, the reduced Hamilton-Cartan equations, and a reduced covariant bracket that describes the dynamics. Finally, this theoretical framework is illustrated with a fundamental example: molecular strands. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19135 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hamiltonian Reduction in Affine Principal Bundles Berbel, Miguel Ángel López, Marco Castrillón Differential Geometry Mathematical Physics Dynamical Systems 70S05 (Primary) 58D19, 70G45, 70S10 (Secondary) This paper presents a Hamiltonian reduction procedure for field theories over affine principal bundles introducing a canonical identification to describe the reduced multisymplectic space without the introduction of a connection. The main goal is to provide a Hamiltonian analogue of the Lagrangian reduction theory developed in M. Castrillón López, P. M. Chacón, and P. L. García. J. Geom. Mech., 5(4):399-414, 2013. The core of this work lies in the derivation of this canonical identification, the reduced Hamilton-Cartan equations, and a reduced covariant bracket that describes the dynamics. Finally, this theoretical framework is illustrated with a fundamental example: molecular strands. |
| title | Hamiltonian Reduction in Affine Principal Bundles |
| topic | Differential Geometry Mathematical Physics Dynamical Systems 70S05 (Primary) 58D19, 70G45, 70S10 (Secondary) |
| url | https://arxiv.org/abs/2603.19135 |