$ΔS=1,2$ Effective Weak Chiral Lagrangian from the Instanton Vacuum

Details $ΔS=1,2$ Effective Weak Chiral Lagrangian from the Instanton Vacuum $ΔS=1,2$ Effective Weak Chiral Lagrangian from the Instanton Vacuum

1999-08-18

arxiv.org/abs/hep-ph/9908400v2

Nucl.Phys. A699 (2002) 541-561

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/S0375-9474(01)01275-1

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 $g_{8}/g_{27}$.

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