Dynamical Generation of Linear $σ$ model SU(3) Lagrangian and Meson Nonet Mixing

Details Dynamical Generation of Linear $σ$ model SU(3) Lagrangian and Meson Nonet Mixing Dynamical Generation of Linear $σ$ model SU(3) Lagrangian and Meson Nonet Mixing

1998-07-27

arxiv.org/abs/hep-ph/9807504v1

Int.J.Mod.Phys.A13:657,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 printed pages, requires plain Tex, now published in IJMPA 13, 657 (1998)

Scientific paper

10.1142/S0217751X98000299

This paper is the SU(3) extension of the dynamically generated SU(2) linear $\sigma$ 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 $g=2\pi/\sqrt3$ 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.

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