$\Delta S=1,2$ Effective Weak Chiral Lagrangian from the Instanton Vacuum

Abstract

We study the effective weak chiral Lagrangian within the framework of the instanton vacuum. We incorporate the $\Delta S=1,2$ effective weak Hamiltonian into the effective low-energy QCD partition function defining the chiral symmetric quark-Goldstone boson interactions with the momentum-dependent dynamical quark mass. Employing the derivative expansion, we derive the corresponding weak effective Lagrangian in leading order with the low energy constants to be used e.g. in chiral perturbation theory. We find that the momentum-dependent dynamical quark mass plays an essential role in improving the low energy constants and their ratio $g_8/g_{27}$.

26 pages. RevTex is used. 9 postscript figures. Submitted to Nucl. Phys. A. The errors and typos corrected

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• Off-forward quark distributions of the nucleon in the large N_c limit
• Pion and photon light-cone wave functions from the instanton vacuum
• Direct extraction of the chiral quark condensate and bounds on the light quark masses
• Meson properties in an extended nonlocal NJL model
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Cited by in corpus (6)

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• Parity-violating $\pi NN$ coupling constant in the chiral quark-soliton model
• $\Delta S=0$ Effective Weak Chiral Lagrangian from the Instanton Vacuum
• Parity-violating $\pi NN$ coupling constant from the flavor-conserving effective weak chiral Lagrangian