Work

Renormalization for free harmonic oscillators

Year: 2014

Type: article

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 ${\ensuremath{\phi}}^{4}$ theory, needs only mass renormalization, and the second, resembling the four dimensional ${\ensuremath{\phi}}^{4}$ theory and the Lee model, needs additional renormalization of a coupling and a wave function.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.89.047702

Author: H. Sonoda

Institution: Kobe University

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Study of gauge invariant composite operators in YM theories