Quark and pion effective couplings from polarization effects

Abstract

A flavor SU(2) effective model for pions and quarks is derived by considering polarization effects departing from the usual quark-quark effective interaction induced by dressed gluon exchange, i.e. a global color model for QCD. For that, the quark field is decomposed into a component that yields light mesons and the quark-antiquark condensate, being integrated out by means of the auxiliary field method, and another component which yields constituent quarks, which is basically a background quark field. Within a longwavelength and weak quark field expansion (or large quark effective mass expansion) of a quark determinant, the leading terms are found up to the second order in a zero order derivative expansion, by neglecting vector mesons that are considerably heavier than the pion. Pions are considered in the structureless limit and, besides the chiral invariant terms that reproduce previously derived expressions, symmetry breaking terms are also presented. The leading chiral quark-quark effective couplings are also found corresponding to a NJL and a vector-NJL couplings. All the resulting effective coupling constants and parameters are expressed in terms of the current and constituent quark masses and of the coupling $g$.

20 pages, revised version to be published in Eur. Phys. Journ. A

References in corpus (13)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Repulsive Vector Interaction in Three Flavor Magnetized Quark and Stellar Matter
• Pions in Large-$N$ Quantum Chromodynamics
• Entropy, confinement, and chiral symmetry breaking
• Determination of the strength of the vector-type four-quark interaction in the entanglement Polyakov-extended Nambu-Jona-Lasino model
• What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator
• Vacuum polarization corrections to low energy quark effective couplings
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction
• Hadronic bound-states in SU(2) from Dyson--Schwinger Equations

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• Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization
• SU(2) low energy quark effective couplings in weak external magnetic field
• Form factors for pions couplings to constituent quarks under weak magnetic field
• Light vector and axial mesons effective couplings to constituent quarks
• Weak magnetic field corrections to light vector or axial mesons mixings and vector meson dominance
• Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field
• U(5) Nambu-Jona-Lasinio model with flavor dependent coupling constants: pseudoscalar and scalar mesons masses
• $U_A(1)$ symmetry breaking quark interactions from vacuum polarization
• Charged pions asymmetry from the decay of light neutral axial mesons due to interference
• Symmetry breaking effects in pion couplings to constituent quark currents