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

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

2000-03-17

arxiv.org/abs/hep-th/0003150v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figure

Scientific paper

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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