  While chiral symmetry breaking in the QCD vacuum is attributed to nonzero
chiral condensate, an alternative symmetry breaking pattern with no chiral
condensate is also possible, as pointed out by Stern. This hypothetical phase
was excluded in QCD at zero density long time ago, but nothing forbids it at
finite baryon density. In this work, we study the $\theta$ dependence of this
unorthodox phase on the basis of chiral perturbation theory. Physical
observables such as energy density, topological susceptibility, non-local
chiral order parameter and meson masses are computed analytically in the
epsilon-regime. At nonzero $\theta$ we find an exotic phase that breaks
vectorial flavor symmetries in a way analogous to the Aoki phase in lattice
QCD.
