Klauder J. R.
Poisson Distributions for $\varphi^4$
(21K, TeX)
ABSTRACT. In an attempt to avoid triviality for relativistic quantum $\varphi^4_n$
theories for space-time dimensions $n\geq 5$, and possibly $n=4$ as
well, an additional, nonclassical, nonpolynomial, local potential is
included, along with standard factors, in a lattice-regularized
formulation of the model. It is argued that if the additional term
redistributes the field probability in the manner characteristic of a
generalized Poisson distribution, then a nontrivial quantization may be
achieved, one which also passes to the correct nontrivial classical
theory in the appropriate limit.