  We study two flavors of massless staggered fermions interacting via an
on-site four-fermion inter- action and argue that the model contains an exotic
quantum critical point separating the perturba- tive massless phase from a
massive fermion phase at strong couplings where the fermion bilinear condensate
remains zero. We believe that no spontaneous symmetry breaking occurs at the
tran- sition. We have extensive calculations in three Euclidian dimensions that
are consistent with the existence of a single second order phase transition
separating the two phases. Although mean field theory suggests that this
transition will turn first order at sufficiently large number of dimensions,
preliminary results suggest that the transition remains second order in
four-dimensions.
