Renormalization for free harmonic oscillators
arXiv:1311.6936 · doi:10.1103/PhysRevD.89.047702
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 theory, needs only mass renormalization, and the second, resembling the four dimensional theory and the Lee model, needs additional renormalization of a coupling and a wave function.
arXiv comment10 pages, 3 figures, improved for clarity, Appendix B added