Effective chiral lagrangian in the chiral limit from the instanton vacuum

Physics – High Energy Physics – High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.69.054004

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.

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