Some Interesting Properties of Field theories with an Infinite Number of Fields

Details Some Interesting Properties of Field theories with an Infinite Number of Fields Some Interesting Properties of Field theories with an Infinite Number of Fields

1994-12-02

arxiv.org/abs/hep-th/9412015v1

Int.J.Mod.Phys. A13 (1998) 625-634

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTex

Scientific paper

10.1142/S0217751X98000275

We give an indication that gravity coupled to an infinite number of fields might be a renormalizable theory. A toy model with an infinite number of interacting fermions in four-dimentional space-time is analyzed. The model is finite at any order in perturbation theory. However, perturbation theory is valid only for external momenta smaller than $\lambda ^{-\frac{1}{2}}$ , where $\lambda$ is the coupling constant.

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