Skinner--Rusk formalism of action-dependent multicontact field theories
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917056450920448 |
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| author | Rivas, Xavier Román-Roy, Narciso Villanova, Annamaria |
| author_facet | Rivas, Xavier Román-Roy, Narciso Villanova, Annamaria |
| contents | The newly developed multicontact structure, based on contact and multisymplectic geometries, provides a very general geometrical framework suitable for the treatment of action-dependent classical field theories. Having successfully applied it to formulate the Lagrangian and Hamiltonian descriptions of these theories, in the present work, the well-known Skinner--Rusk formalism is presented in this multicontact setting, which allows us to provide a combined version of both Lagrangian and Hamiltonian formalisms particularly suitable for the study and description of singular theories. As an application of this last situation, we study a modification of Maxwell's Lagrangian of classical electromagnetism, which incorporates action-dependent terms and allows us to describe electromagnetism in material media. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_01499 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Skinner--Rusk formalism of action-dependent multicontact field theories Rivas, Xavier Román-Roy, Narciso Villanova, Annamaria Mathematical Physics Primary: 70S05, 70S10, 53D10, 35R01. Secondary: 35Q99, 53C15, 53Z05, 58A10, 58J60, 70G45 The newly developed multicontact structure, based on contact and multisymplectic geometries, provides a very general geometrical framework suitable for the treatment of action-dependent classical field theories. Having successfully applied it to formulate the Lagrangian and Hamiltonian descriptions of these theories, in the present work, the well-known Skinner--Rusk formalism is presented in this multicontact setting, which allows us to provide a combined version of both Lagrangian and Hamiltonian formalisms particularly suitable for the study and description of singular theories. As an application of this last situation, we study a modification of Maxwell's Lagrangian of classical electromagnetism, which incorporates action-dependent terms and allows us to describe electromagnetism in material media. |
| title | Skinner--Rusk formalism of action-dependent multicontact field theories |
| topic | Mathematical Physics Primary: 70S05, 70S10, 53D10, 35R01. Secondary: 35Q99, 53C15, 53Z05, 58A10, 58J60, 70G45 |
| url | https://arxiv.org/abs/2511.01499 |