  Within the parity doublet model coupled to the linear sigma model including
vector mesons it is possible to describe vacuum properties of the low energy
mesons and to achieve nuclear saturation at nonzero density. Motivated by
recent studies we investigate the emergence of inhomogeneous condensation in
the parity doublet model. As a first step the chiral density wave (CDW) is con-
sidered, which allows for a straightforward investigation of inhomogeneous
condensation. As a result it is still possible to have a homogeneous ground
state of nuclear matter, but at larger baryon chemical potential the CDW is
favored with respect to the homogeneous phase.
