Abstract
Parametrized field theories, which are generally covariant versions of ordinary field theories, are studied from the point of view of the covariant phase space: the space of solutions of the field equations equipped with a canonical (pre)symplectic structure. Motivated by issues arising in general relativity, we focus on phase space representations of the space-time diffeomorphism group, construction of observables, and the relationship between the canonical and covariant phase spaces.
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