  The G-->0 limit of Euclidean gravity introduced by Smolin is described by a
generally covariant U(1)xU(1)xU(1) gauge theory. In an earlier paper, Tomlin
and Varadarajan constructed the quantum Hamiltonian constraint of density
weight 4/3 for this U(1)xU(1)xU(1) theory so as to produce a non-trivial
anomaly free LQG-type representation of the Poisson bracket between a pair of
Hamiltonian constraints. These constructions involved a choice of regulating
coordinate patches. The use of these coordinate patches is in apparent conflict
with spatial diffeomorphism covariance. In this work we show how an appropriate
choice of coordinate patches together with suitable modifications of these
constructions results in the diffeomorphism covariance of the continuum limit
action of the Hamiltonian constraint operator, while preserving the anomaly
free property of the continuum limit action of its commutator.
