Hamiltonian electric/magnetic duality and Lorentz invariance

摘要

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. (C) 1998 Elsevier Science B.V. [References: 12]