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Recent proposals for a nontrivial quantization of covariant,nonrenormalizable, self-interacting, scalar quantum fields have emphasized theimportance of quantum fields that obey affine commutation relations rather thancanonical commutation relations. When formulated on a spacetime lattice, suchmodels have a lattice version of the associated ground state, and this vectoris used as the fiducial vector for the definition of the associated affinecoherent states, thus ensuring that in the continuum limit, the affine fieldoperators are compatible with the system Hamiltonian. In this article, wedefine and analyze the associated affine coherent states as well as brieflyreview the author's approach to nontrivial formulations of suchnonrenormalizable models.

New Affine Coherent States based on Elements of Nonrenormalizable Scalar Field Models