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arXiv · 1311.6936

Renormalization for free harmonic oscillators

H. Sonoda
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Abstract

We introduce a model of free harmonic oscillators that requires renormalization. The model is similar to but simpler than the soluble Lee model. We introduce two concrete examples: the first, resembling the three dimensional $ϕ^4$ theory, needs only mass renormalization, and the second, resembling the four dimensional $ϕ^4$ theory and the Lee model, needs additional renormalization of a coupling and a wave function.

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H. Sonoda. 2014-01-31. Renormalization for free harmonic oscillators. https://doi.org/10.1103/physrevd.89.047702

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