Poisson distributions and nontriviality of phi**4 theory
19944 pages
Published in:
- Phys.Rev.Lett. 73 (1994) 3051-3054
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Abstract: (APS)
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.- phi**n model: 4
- relativistic
- triviality
- dimension: >4
- potential: nonpolynomial
- lattice field theory
- statistical analysis
- quantization
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