Effective chiral lagrangian in the chiral limit from the instanton vacuum

Abstract

We study the effective chiral Lagrangian in the chiral limit from the instanton vacuum. Starting from the nonlocal effective chiral action, we derive the effective chiral Lagrangian, using the derivative expansion to order $O(p^4)$ in the chiral limit. The low energy constants, $L_1$, $L_2$, and $L_3$ are determined and compared with various models and the corresponding empirical data. The results are in a good agreement with the data. We also discuss about the upper limit of the sigma meson, based on the present results.

14 pages, 5 figures, submitted to Phys.Rev. D

References in corpus (4)

• Instantons at work
• Pion light cone wave function in the non-local NJL model
• Hadronic string, conformal invariance and chiral symmetry
• A note on inequalities for the masses of the lightest pi-pi resonances in large N_c QCD

Cited by in corpus (7)

• Nonlocal chiral quark models with wavefunction renormalization: sigma properties and π-πscattering parameters
• Magnetic susceptibility of the QCD vacuum
• Meson-loop contributions to the quark condensate from the instanton vacuum
• Pion mass dependence of the electromagnetic form factors of singly heavy baryons
• $\Delta S=0$ Effective Weak Chiral Lagrangian from the Instanton Vacuum
• Parity-violating $\pi NN$ coupling constant from the flavor-conserving effective weak chiral Lagrangian
• Pion and kaon structures from the instanton vacuum