Symmetries and Covariant Poisson Brackets on Presymplectic Manifolds
Symmetries and Covariant Poisson Brackets on Presymplectic Manifolds
Noticing that the space of the solutions of a first order Hamiltonian field theory has a pre-symplectic structure, we describe a class of conserved charges on it associated to the momentum map determined by any symmetry group of transformations. Gauge theories are dealt with by using a symplectic regularization based …