Antiferromagnetic phi**4 model: II. The One loop renormalization

It is shown that the four dimensional antiferromagnetic lattice φ4 model has the usual nonasymptotically free scaling law in the UV regime around the chiral symmetrical critical point. The theory describes a scalar and a pseudoscalar particle. A continuum effective theory is derived for low energies. A possibility of constructing a model with a single chiral boson is mentioned.