eCite Digital Repository

Dynamical generation of linear sigma model SU(3) Lagrangian and meson nonet mixing


Delbourgo, R and Scadron, MD, Dynamical generation of linear sigma model SU(3) Lagrangian and meson nonet mixing, International Journal of Modern Physics A, 13, (4) pp. 657-676. ISSN 0217-751X (1998) [Refereed Article]

DOI: doi:10.1142/S0217751X98000299


This paper is the SU(3) extension of the dynamically generated SU(2) linear σ model Lagrangian worked out previously using dimensional regularization. After discussing the quark-level Goldberger-Treiman relations for SU(3) and the related gap equations, we dynamically generate the meson cubic and quartic couplings. This also constrains the meson-quark coupling constant to g = 2π/√3 and determines the SU(3) scalar meson masses in a Nambu-Jona-Lasinio fashion. Finally we dynamically induce the U(3) pseudoscalar and scalar mixing angles in a manner compatible with data. © World Scientific Publishing Company.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Other physical sciences
Research Field:Other physical sciences not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
UTAS Author:Scadron, MD (Professor Scadron)
ID Code:13517
Year Published:1998
Web of Science® Times Cited:64
Deposited By:Physics
Deposited On:1998-08-01
Last Modified:2011-08-08

Repository Staff Only: item control page