  Symmetry breaking solutions are investigated in the $N\to \infty$ limit for
the ground state of a system consisting of a Lorentz-scalar, N component
``phantom'' field and an O(N) singlet. The most general form of O(N) x Z_2
invariant quartic interaction is considered. The non-perturbatively
renormalised solution demonstrates the possibility for Z_2 symmetry breaking
induced by phantom fluctuations. It becomes also evident that the strength of
the ``internal'' dynamics of the N-component field tunes away the ratio of the
Higgs condensate and the Higgs mass from its perturbative (nearly tree-level)
expression.
