We investigate the critical behavior of three-dimensional antiferromagnetic CP (ACP) models in cubic lattices, which are characterized by a global U(N) symmetry and a local U(1) gauge symmetry. Assuming that critical fluctuations are associated with a staggered gauge-invariant (hermitian traceless matrix) order parameter, we determine the corresponding Landau-GinzburgWilson (LGW) model. For N =...