  We investigate the Gibbs-measures of ferromagnetically coupled continuous
spins in double-well potentials subjected to a random field (our specific
example being the $\phi^4$ theory), showing ferromagnetic ordering in $d\geq 3$
dimensions for weak disorder and large energy barriers. We map the random
continuous spin distributions to distributions for an Ising-spin system by
means of a single-site coarse-graining method described by local transition
kernels. We derive a contour- representation for them with notably positive
contour activities and prove their Gibbsianness. This representation is shown
to allow for application of the discrete-spin renormalization group developed
by Bricmont/Kupiainen implying the result in $d\geq 3$.
