 94220 Klauder J. R.
 Poisson Distributions for $\varphi^4$
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Jun 30, 94

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Abstract. In an attempt to avoid triviality for relativistic quantum $\varphi^4_n$
theories for spacetime dimensions $n\geq 5$, and possibly $n=4$ as
well, an additional, nonclassical, nonpolynomial, local potential is
included, along with standard factors, in a latticeregularized
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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