94-220 Klauder J. R.

Poisson Distributions for $\varphi^4$ (21K, TeX) Jun 30, 94

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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.

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