Renormalization for free harmonic oscillators
High Energy Physics - Theory
2014-03-05 v2 Quantum Physics
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.
Cite
@article{arxiv.1311.6936,
title = {Renormalization for free harmonic oscillators},
author = {H. Sonoda},
journal= {arXiv preprint arXiv:1311.6936},
year = {2014}
}
Comments
10 pages, 3 figures, improved for clarity, Appendix B added