John R. Klauder
New Affine Coherent States based on Elements of Nonrenormalizable
Scalar Field Models
(43K, latex)
ABSTRACT. Recent proposals for a nontrivial quantization of covariant, nonrenormalizable,
self-interacting, scalar quantum fields have emphasized the importance of quantum
fields that obey affine commutation relations rather than canonical commutation
relations. When formulated on a spacetime lattice, such models have a lattice version of the
associated ground state, and this vector is used as the fiducial vector for the
definition of the associated affine coherent states, thus ensuring that in the
continuum limit, the affine field operators are compatible with the system
Hamiltonian. In this article, we define and analyze the associated affine
coherent states as well as briefly
review the author's approach to nontrivial formulations of such
nonrenormalizable models.