2026-04-18T02:05:46Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/2213202025-12-05T16:10:04Zcom_2072_1057col_2072_478823col_2072_478904col_2072_478917
RECERCAT
author
Russo, J. G. (Jorge Guillermo)
author
Townsend, Paul K.
2025-06-02T16:32:07Z2025-06-02T16:32:07Z20242025-06-02T16:32:07Z
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.
cc-by (c) Russo, J.G. et al., 2024 http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess
Electrodinàmica
Camps de galga (Física)
Electrodynamics
Gauge fields (Physics)
Dualities of self-dual nonlinear electrodynamics
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion