Poisson Distributions and Nontriviality of ϕ4 Theory

John R. Klauder
Phys. Rev. Lett. 73, 3051 – Published 5 December 1994
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Abstract

In an attempt to avoid triviality for relativistic quantum ϕn4 theories for space-time dimensions n5, 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.

  • Received 22 July 1994

DOI:https://doi.org/10.1103/PhysRevLett.73.3051

©1994 American Physical Society

Authors & Affiliations

John R. Klauder*

  • Department of Physics and Astronomy, University of Canterbury, Christchurch, New Zealand

  • *Permanent address: Departments of Physics and Mathematics, University of Florida, Gainesville, FL 32611.

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Vol. 73, Iss. 23 — 5 December 1994

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