We show how the Apparently Noninvariant Terms (ANTs), which emerge in
perturbation theory of nonlinear sigma models, are consistent with the
nonlinearly realized symmetry by employing the Ward-Takahashi identity (in the
form of an inhomogeneous Zinn-Justin equation). In the literature the
discussions on ANTs are confined to the SU(2) case. We generalize them to the
U(N) case and demonstrate explicitly at the one-loop level that despite the
presence of divergent ANTs in the effective action of the "pions", the symmetry
is preserved.Comment: two paragraphs added in Introduction, typos in Eqs. fixe