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Nonperturbative approach to a simple model with ultraviolet divergent eigenenergies in perturbation theory

Wen-ge Wang

hep-tharXiv:hep-th/0003150

Abstract

We study a simple model for which perturbation theory gives ultravioletly divergent results. We show that when the eigen-solution problem of the Hamiltonian of the model is treated nonperturbatively, it is possible for eigenenergies of the Hamiltonian to be finite.

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