Loop representation and r-Fock measures for SU(N) gauge theories

In this article, we continue the work on translating elements of the perturbative quantum field theory defined on Minkowski spacetime into the background independent framework of loop quantum gravity. We present the construction of r-Fock measures for SU(N) gauge theories and represent the Fock vacuum of SU(N) gauge fields on the loop quantum gravity Hilbert space. We treat the case of SU(2) explicitly and provide a relation between these new r-Fock measures and the difeomorphism invariant measure used in loop quantum gravity.