  The present paper is the companion of [1] in which we proposed a scheme that
tries to derive the Quantum Field Theory (QFT) on Curved Spacetimes (CST) limit
from background independent Quantum General Relativity (QGR). The constructions
of [1] make heavy use of the notion of semiclassical states for QGR. In the
present paper, we employ the complexifier coherent states for QGR recently
proposed by Thiemann and Winkler as semiclassical states, and thus fill the
general formulas obtained in [1] with life. We demonstrate how one can, under
some simplifying assumptions, explicitely compute expectation values of the
operators relevant for the gravity-matter Hamiltonians of [1] in the
complexifier coherent states. These expectation values give rise to effective
matter Hamiltonians on the background on which the gravitational coherent state
is peaked and thus induce approximate notions of n-particle states and matter
propagation on fluctuating spacetimes. We display the details for the scalar
and the electromagnetic field. The effective theories exhibit two types of
corrections as compared to the the ordinary QFT on CST. The first is due to the
quantum fluctuations of the gravitational field, the second arises from the
fact that background independence forces both geometry and matter to propagate
on a spacetime that is the product of the real line and a (random) graph.
Finally we obtain explicit numerical predictions for non-standard dispersion
relations for the scalar and the electromagnetic field. They should, however,
not be taken too seriously, due to the many ambiguities in our scheme, the
analysis of the physical significance of which has only begun. We show however,
that one can classify these ambiguities at least in broad terms.
