Hamiltonian electric/magnetic duality and Lorentz invariance

Abstract

In noncovariant, Hamiltonian, formulation of gauge vector actions, the conditions for invariance under electric/magnetic duality transformations and their generator are transparent. Instead, satisfying Lorentz invariance — fulfilling the Dirac–Schwinger stress tensor commutators — becomes a complicated differential constraint on the Hamiltonian. The combined requirements are equivalent to the usual Lagrangian form of the duality invariance condition.

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