Work

Classical dimensional transmutation and renormalization in massive λϕ4 model

Year: 2012

Type: article

Abstract: Recently, Dvali, Gomez, and Mukhanov have investigated a classical λ ϕ 4 model with external source and without mass and they have clarified that there are underlying renormalization group structure, including the phenomenon of the dimensional transmutation, at purely classical level. Especially when the coupling λ is negative, the classical beta function shows the property of asymptotic freedom as in QCD . In this Letter, we investigate the λ ϕ 4 model with mass, and clarify the role of the mass. The obtained classical beta function is identical with that of the massless λ ϕ 4 model up to the corrections of the ratio of the IR cutoff to UV cutoff, and describes the renormalization flow same as the massless theory. We also found that the dynamically generated scale of massive theory is larger than that of massless theory, which could be due to the screening effect of the mass term.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2012.11.006

Authors: Hiroshi Yoda, Shinʼichi Nojiri

Institution: Nagoya University

Language: Latvian

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid:

Funders: Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science