Abstract
The quantum theory of a type of generally covariant field theory, that has no local degrees of freedom, is described. Physical observables that capture topological properties of the manifold are identified and a representation of their Poisson algebra is constructed to obtain the quantum theory. A non-Abelian generalization to SU(2) is also discussed in a similar way.
- Received 19 January 1990
DOI:https://doi.org/10.1103/PhysRevD.43.1803
©1991 American Physical Society