Vacuum polarization corrections to low energy quark effective couplings

Abstract

In this work corrections to low energy punctual effective quark couplings up to the eighth order are calculated by considering vacuum polarization effects with the scalar quark-antiquark condensate. The departing point is a QCD-based NJL model. By separating the quark field into two components, one that condenses and another one for interacting quarks, the former is integrated out with the help of usual auxiliary fields and an effective action in terms for interacting quark fields is found. The scalar auxiliary field reduces to the quark-antiquark condensate in the vacuum and the determinant is expanded in powers of the quark-antiquark bilinears generating chiral invariant effective 2N-quark interactions (N=2, 3...). The corresponding coupling constants and effective masses are estimated, and the general trend is that for increasing the effective gluon mass the values of the effective coupling constants decrease. All the values are in good agreement with phenomenological fits.

arXiv comment9 pages, accepted for publication

References in corpus (46)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• QCD at Low Energies
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• New Charmonium States in QCD Sum Rules: a Concise Review
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Constituent Quarks from QCD
• Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Effective Action for the Quark-Meson Model
• Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
• The non-perturbative groundstate of Q.C.D and the local composite operator A_mu^2
• Lifting the Gribov ambiguity in Yang-Mills theories
• Essence of the vacuum quark condensate
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• The quark condensate from K_{e_4} decays
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Condensates in Quantum Chromodynamics and the Cosmological Constant
• Tetraquark bound states in a Bethe-Salpeter approach
• Toward a first-principle derivation of confinement and chiral-symmetry-breaking crossover transitions in QCD
• Relation between the Polyakov loop and the chiral order parameter at strong coupling
• Multi-quark interactions with a globally stable vacuum
• Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons
• The dynamical equation of the effective gluon mass
• Dynamical gluon mass generation from <A^2> in linear covariant gauges
• Chiral Lagrangian with confinement from the QCD Lagrangian
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• A determination of <A^2> and the non-perturbative vacuum energy of Yang-Mills theory in the Landau gauge
• Description of Gluon Propagation in the Presence of an A^2 Condensate
• Gluon mass generation in the presence of dynamical quarks
• Gluon Propagators in Maximally Abelian Gauge in SU(3) Lattice QCD
• Aspects of U_A(1) breaking in the Nambu and Jona-Lasinio model
• OZI violating eight-quark interactions as a thermometer for chiral transitions
• Effective quark Lagrangian in the instanton-gas model
• Propagators, Running Coupling and Condensates in Lattice QCD
• What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator
• The vacuum nature of the QCD condensates
• Resolving the instability of the Savvidy vacuum by dynamical gluon mass
• On the dynamical mass generation in confining Yang-Mills theories
• Expanding non homogeneous configurations of the $\lambda {\varphi }^4$ model
• A Nambu-Jona-Lasinio like model from QCD at low energies
• Quark contact interactions at the LHC
• From propagators to glueballs in the Gribov-Zwanziger framework

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• Flavor-dependent U(3) Nambu Jona Lasinio coupling constant
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• SU(2) low energy quark effective couplings in weak external magnetic field
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• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
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• Spontaneous symmetry breakings in the singlet scalar Yukawa model within the auxiliary field method
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• Charged pions asymmetry from the decay of light neutral axial mesons due to interference