Instantaneous state spaces with Dirichlet or vanishing-velocity boundary conditions form tangent bundles or labeled sectors whose Legendre transform yields leafwise Poisson structures, leading to a proposed quotient definition of the boundary symmetry group that makes the electromagnetism case a cop
Hamiltonian gauge theory with corners: constraint reduction and flux superselection,
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Boundaries in the Instantaneous Formulation of Field Theories
Instantaneous state spaces with Dirichlet or vanishing-velocity boundary conditions form tangent bundles or labeled sectors whose Legendre transform yields leafwise Poisson structures, leading to a proposed quotient definition of the boundary symmetry group that makes the electromagnetism case a cop