Chiral Lagrangian with confinement from the QCD Lagrangian

Abstract

An effective Lagrangian for the light quark in the field of a static source is derived systematically using the exact field correlator expansion. The lowest Gaussian term is bosonized using nonlocal colorless bosonic fields and a general structure of effective chiral Lagrangian is obtained containing all set of fields. The new and crucial result is that the condensation of scalar isoscalar field which is a usual onset of chiral symmetry breaking and is constant in space-time, assumes here the form of the confining string and contributes to the confining potential, while the rest bosonic fields describe mesons with the q\bar q quark structure and pseudoscalars play the role of Nambu-Goldstone fields. Using derivative expansion the effective chiral Lagrangian is deduced containing both confinement and chiral effects for heavy-light mesons. The pseudovector quark coupling constant is computed to be exactly unity in the local limit,in agreement with earlier large N_c arguments.

LaTeX2e, 17 pages

Cited by in corpus (50)

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• Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons
• The coupled-channel analysis of the D and D_s mesons
• Decay constants of the heavy-light mesons from the field correlator method
• Light meson radial Regge trajectories
• Investigation of Phase Diagram and Bulk Thermodynamic Properties using PNJL Model with Eight-Quark Interactions
• Nambu-Goldstone mesons in strong magnetic field
• Vacuum phase transition at nonzero baryon density
• The Evolution of Meson Masses in a Strong Magnetic Field
• Pion decay constants in a strong magnetic field
• Bottomonium dipion transitions
• Strong decays and dipion transitions of Upsilon(5S)
• Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method
• The chiral transitions in heavy-light mesons
• Resolution of the pion puzzle: the QCD string in Nambu-Goldstone mesons
• Field Correlator Method for the confinement in QCD
• New spectral representation and evaluation of f_πand the quark condensate <\bar q q> in the terms of string tension
• Chiral physics in the magnetic field with quark confinement contribution
• Relativistic theory of string breaking in QCD
• Nonperturbative SU(3) thermodynamics and the phase transition
• On Goldstone bosons decoupling from high-lying hadrons
• Pseudoscalar mesons and their radial excitations from the Effective Chiral Lagrangian
• Vacuum polarization corrections to low energy quark effective couplings
• Low energy constituent quark and pion effective couplings in a weak external magnetic field
• Quark and pion effective couplings from polarization effects
• Chiral Lagrangian and chiral quark model from confinement in QCD
• The radial Regge trajectories and leptonic widths of the isovector mesons
• Spin-dependent forces of quarks in baryon
• SU(2) higher-order effective quark interactions from polarization
• Magnetic test of chiral dynamics in QCD
• Light vector and axial mesons effective couplings to constituent quarks
• Scalar mesons in the chiral theory with quark degrees of freedom
• Analysis of the QCD spectrum and chiral symmetry breaking with varying quark masses
• Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field
• Chiral symmetry breaking and the Lorentz nature of confinement
• Magnetic focusing in atomic, nuclear and hadronic processes
• Factorization breaking of four-quark condensates in the Nambu Jona Lasinio model
• Contribution of the rho meson and quark sub-structure to the nuclear spin-orbit potential
• Chiral symmetry and the properties of hadrons in the Generalised Nambu-Jona-Lasinio model
• Nonperturbative mechanisms of strong decays in QCD
• The QCD spectrum: mixing, strong decays and the role of sea quarks
• The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
• Quark condensate in QCD at nonzero magnetic field and temperature
• Chiral dynamics with confinement versus the standard chiral theory
• Lepton decay constants of light mesons
• Effects of perturbative exchanges in a QCD-string model
• Functional Integral Approaches to the Bosonization of Effective Multi-Quark Interactions with $U_\A(1)$ Breaking
• Chiral shifts in heavy-light mesons
• From QCD phenomenology to nuclear physics phenomenology: the chiral confining model
• Mass generation with adjoint fermions