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

doi:https://doi.org/10.48550/arxiv.hep-th/9412015

Open AccessPreprint10.48550/arxiv.hep-th/9412015

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

Nissan Itzhaki-1994-12-02-arXiv (Cornell University)

TL;DRAbstract

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 $λ^{-\frac{1}{2}}$ , where $λ$ is the coupling constant.

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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 $λ^{-\frac{1}{2}}$ , where $λ$ is the coupling constant.

Keywords

Coupling constantPhysicsPerturbation theory (quantum mechanics)LambdaMathematical physicsFermionPerturbation (astronomy)Field theory (psychology)

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