Dynamical Generation of Linear $\sigma$ model SU(3) Lagrangian and Meson Nonet Mixing
High Energy Physics - Phenomenology
2008-11-26 v1
Abstract
This paper is the SU(3) extension of the dynamically generated SU(2) linear 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 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.
Keywords
Cite
@article{arxiv.hep-ph/9807504,
title = {Dynamical Generation of Linear $\sigma$ model SU(3) Lagrangian and Meson Nonet Mixing},
author = {R. Delbourgo and M. D. Scadron},
journal= {arXiv preprint arXiv:hep-ph/9807504},
year = {2008}
}
Comments
19 printed pages, requires plain Tex, now published in IJMPA 13, 657 (1998)