  In this paper we investigate the relationship between glassy and
ferromagnetic phases in disordered Ising ferromagnets in the presence of
transverse magnetic fields, $\Gamma$. Iterative mean field simulations probe
the free energy landscape and suggest the existence of a glass transition as a
function of $\Gamma$ which is distinct from the Curie temperature. New
experimental field-cooled and zero-field-cooled data on LiHo$_x$Y$_{1-x}$F$_4$
provide support for our theoretical picture.
