Phys. Rev. Lett. 73, 3051–3054 (1994)Poisson Distributions and Nontriviality of ϕ4 TheoryReceived 22 July 1994; published in the issue dated 5 December 1994 In an attempt to avoid triviality for relativistic quantum ϕn4 theories for space-time dimensions n≥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. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.73.3051
DOI:
10.1103/PhysRevLett.73.3051
PACS:
11.10.Ef, 11.10.Kk
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