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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/221320
Dualities of self-dual nonlinear electrodynamics
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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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RUSSO, J. G. (Jorge Guillermo) and TOWNSEND, Paul K. Dualities of self-dual nonlinear electrodynamics. Journal of High Energy Physics. 2024. Vol. 2024, num. 107. ISSN 1126-6708. [consulted: 18 of June of 2026]. Available at: https://hdl.handle.net/2445/221320