DYANMICAL GENERATION OF LINEAR σ MODEL SU(3) LAGRANGIAN AND MESON NONET MIXING

1998/02/10 by R. DELBOURGO, M. D. SCADRON
Physics and Astronomy · Mathematics · #Quantum Chromodynamics and Particle Interactions #Black Holes and Theoretical Physics #Algebraic structures and combinatorial models

paper · doi:10.1142/s0217751x98000299

Abstract

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 [Formula: see text] 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.

Citations

• Axial-Vector Vertex in Spinor Electrodynamics

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