Light Quark Masses in Multi-Quark Interactions

Abstract

We suggest and discuss in detail a multi-quark three flavor Lagrangian of the Nambu -- Jona-Lasinio type, which includes a set of effective interactions proportional to the current quark masses. It is shown that within the dynamical chiral symmetry breaking regime, the masses of the pseudo Goldstone bosons and their chiral partners, members of the low lying scalar nonet, are in perfect agreement with current phenomenological expectations. The role of the new interactions is analyzed.

8 pages, published version

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• Guises and Disguises of Quadratic Divergences
• Inverse Mass Hierarchy of Light Scalar Mesons Driven by Anomaly-Induced Flavor Breaking
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions
• The ${\pi }^0-\eta -{\eta }^{\prime }$ mixing in a generalized multi-quark interaction scheme
• Phase diagram for strongly interacting matter in the presence of a magnetic field using the Polyakov-Nambu-Jona-Lasinio model with magnetic field dependent coupling strengths
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• The QCD critical point from the Nambu-Jona-Lasino model with a scalar-vector interaction
• Masses of the lowest spin-0 and spin-1 meson nonets: explicit symmetry breaking effects
• Spontaneous symmetry breakings in the singlet scalar Yukawa model within the auxiliary field method
• Thermodynamical properties of strongly interacting matter in a model with explicit chiral symmetry breaking interactions
• Higher order fermion effective polynomial interactions
• Quark mass effects in the thermodynamical properties of an extended (P)NJL model