Symmetry reduction for quantized diffeomorphism-invariant theories of connections
Symmetry reduction for quantized diffeomorphism-invariant theories of connections
Given a symmetry group acting on a principal fibre bundle, symmetric states of the quantum theory of a diffeomorphism invariant theory of connections on this fibre bundle are defined. These symmetric states, equipped with a scalar product derived from the Ashtekar-Lewandowski measure for loop quantum gravity, form a Hilbert space …