Chiral Lagrangian and chiral quark model from confinement in QCD

Abstract

The effective chiral Lagrangian in both nonlocal form $L_{ECCL}$ and standard local form $L_{ECL}$ are derived in QCD using the confining kernel, obtained in the vacuum correlator formalism. As a result all coefficients of $L_{ECL}$ can be computed via $q\bar{q}$ Green's functions. In the $p^2$ order of $L_{ECL}$ one obtains GOR relations and quark decay constants $f_a$ are calculated $a=1,...8$, while in the $p^4$ order the coefficients $L_1,L_2,L_3,L_4,L_5,L_6$ are obtained in good agreement with the values given by data. The chiral quark model is shown to be a simple consequence of $L_{ECCL}$ with defined coefficients. It is demonstrated that $L_{ECCL}$ gives an extension of the limiting low-energy Lagrangian $L_{ECL}$ to arbitrary momenta.

32 pages,4 figures,new estimates and refs added,misprints corrected

References in corpus (9)

• Big-Bang Nucleosynthesis
• Chiral effective field theory and nuclear forces
• Mesonic low-energy constants
• Decay constants of the heavy-light mesons from the field correlator method
• Bottomonium dipion transitions
• Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method
• The chiral transitions in heavy-light mesons
• On the minimality of the order p^6 chiral Lagrangian
• Status of chiral perturbation theory for light mesons

Cited by in corpus (9)

• Field Correlator Method for the confinement in QCD
• Nonperturbative SU(3) thermodynamics and the phase transition
• Scalar mesons in the chiral theory with quark degrees of freedom
• Chiral symmetry and the properties of hadrons in the Generalised Nambu-Jona-Lasinio model
• Chiral dynamics with confinement versus the standard chiral theory
• The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
• Quark condensate in QCD at nonzero magnetic field and temperature
• Color screening in flux tubes and in the color Coulomb potential from the QCD Field Correlators
• From QCD phenomenology to nuclear physics phenomenology: the chiral confining model