Improved Effective Action for Light Quarks Beyond Chiral Limit

Abstract

We propose an improvement of the Diakonov-Petrov Effective Action on the basis of the Lee-Bardeen results for the quark determinant in the instanton field. This Improved Effective Action provides proper account of the current quark masses, which is particularly important for strange quarks. This Action is successfully tested by the calculations of the quark condensate, the masses of the pseudoscalar meson octet and by axial-anomaly low-energy theorems.

15 pages, 1 figure, Latex. New references were added

Cited by in corpus (26)

• The leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum
• Low energy constants of \chiPT from the instanton vacuum model
• Magnetic susceptibility of the QCD vacuum
• Leading-twist pion and kaon distribution amplitudes in the gauge-invariant nonlocal chiral quark model from the instanton vacuum
• Mesonic fluctuations in a nonlocal Nambu-Jona-Lasinio model
• 1/N_c corrections to the magnetic susceptibility of the QCD vacuum
• Twist-3 pion and kaon distribution amplitudes from the instanton vacuum with flavor SU(3) symmetry breaking
• Spin structure of the pion from the instanton vacuum
• Long distance expansion for the NJL model with SU(3) and U_A(1) breaking
• Meson-loop contributions to the quark condensate from the instanton vacuum
• Quantum fluctuations of the quark condensate
• QCD condensates with flavor SU(3) symmetry breaking from the instanton vacuum
• Fragmentation functions and parton distribution functions for the pion with the nonlocal interactions
• Kaon semileptonic decay (K_{l3}) form factors from the instanton vacuum
• Fragmentation and quark distribution functions for the pion and kaon with explicit flavor-SU(3)-symmetry breaking
• Pion weak decay constant at finite density from the instanton vacuum
• Effective chiral lagrangian in the chiral limit from the instanton vacuum
• Generalized form factors and spin structures of the kaon
• The quark-jet contribution to the fragmentation functions for the pion and kaon with the nonlocal interactions
• Vector and Axial-vector form factors in radiative kaon decay and flavor SU(3) symmetry breaking
• Gluons, Light and Heavy Quarks in the Instanton Vacuum
• Pion radiative weak decay from the instanton vacuum
• Gluons, Heavy and Light Quarks in the QCD Vacuum
• Unpolarized fragmentation function for the pion and kaon via the nonlocal chiral-quark model
• Heavy-light quark systems from the QCD instanton vacuum: $N_f=1$ light flavor case
• ILM gluons in perturbative QCD