  We introduce hermiticity as a new symmetry and show that when starting with a
model which is Hermitian in the classical level, quantum corrections can break
hermiticity while the theory stay physically acceptable. To show this, we
calculated the effective potential of the ($g\phi^{4}+h\phi^{6}$)$_{1+1}$ model
up to first order in $g$ and $h$ couplings which is sufficient as the region of
interest has finite correlation length for which mean field calculation may
suffice. We show that, in the literature, there is a skipped phase of the
theory due to the wrong believe that the theory in the broken hermiticity phase
is unphysical. However, in view of recent discoveries of the reality of the
spectrum of the non-Hermitian but $PT$ symmetric theories, in the broken
hermiticity phase the theory possesses $PT$ symmetry and thus physically
acceptable. In fact, ignoring this phase will lead to violation of universality
when comparing this model predictions with other models in the same class of
universality.
