Dualities of self-dual nonlinear electrodynamics
For any causal nonlinear electrodynamics theory that is “self-dual” (electromagnetic U(1)-duality invariant), the Legendre-dual pair of Lagrangian and Hamiltonian densities {L, H} are constructed from functions {ℓ, h} on R + related to a particle-mechanics Lagrangian and Hamiltonian. We show how a ‘...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/221320 |
| Acesso em linha: | https://hdl.handle.net/2445/221320 |
| Access Level: | acceso abierto |
| Palavra-chave: | Electrodinàmica Camps de galga (Física) Electrodynamics Gauge fields (Physics) |
| Resumo: | For any causal nonlinear electrodynamics theory that is “self-dual” (electromagnetic U(1)-duality invariant), the Legendre-dual pair of Lagrangian and Hamiltonian densities {L, H} are constructed from functions {ℓ, h} on R + related to a particle-mechanics Lagrangian and Hamiltonian. We show how a ‘duality’ relating ℓ to h implies that L and H are related by a simple map between appropriate pairs of variables. We also discuss Born’s “Legendre self-duality” and implications of a new “Φ-parity” duality. Our results are illustrated with many examples. |
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