Multi-quark interactions with a globally stable vacuum

Abstract

It is shown that $U(3{)}_L\times U(3{)}_R$ eight-quark interactions stabilize the asymmetric ground state of the well-known model with four-quark Nambu -- Jona-Lasinio and six-quark 't Hooft interactions. The result remains when the reduced SU(3) f\mbox{}lavour symmetry is explicitly broken by the general current quark mass term with ${\hat{m}}_u\ne {\hat{m}}_d\ne {\hat{m}}_s$.

LaTeX, 17 pages, 2 figures, version to appear in Phys. Lett. B

References in corpus (14)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• QCD forces and heavy quark bound states
• Instantons at work
• Nambu Jona-Lasinio Like Models and the Low Energy Effective Action of QCD
• Chiral Lagrangians and Nambu-Jona-Lasinio like models
• Chiral Lagrangian with confinement from the QCD Lagrangian
• Pion Observables in the Extended NJL Model with Vector and Axial-Vector Mesons
• Strong and Radiative Meson Decays in a Generalized Nambu--Jona-Lasinio Model
• The Momentum--Space Bosonization of the Nambu--Jona-Lasinio Model with Vector and Axial-Vector Mesons
• U_A(1) symmetry breaking, scalar mesons and the nucleon spin problem in an effective chiral field theory
• Path Integral Bosonization of the 't Hooft Determinant: Quasiclassical Corrections
• Chiral Symmetry Breaking by Instantons
• A nucleonic NJL model for finite nuclei: dynamic mass generation and ground-state observables
• Okubo-Zweig-Iizuka rule violation in photoproduction

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