Chiral Meson Lagrangians from the QCD Based NJL Model Modified by Nonlocal Effects
A. A. Bel'kov, A. V. Lanyov, A. Schaale, S. Scherer
Abstract
Starting from a QCD inspired bilocal quark interaction we obtain a local effective meson lagrangian. In contrast to previous local (NJL-like) approaches, we include nonlocal corrections related to the finite meson size which we characterize by a small parameter. After bosonization using the heat-kernel method we predict the structure coefficients of the Gasser-Leutwyler p4-lagrangian up to first order in this parameter. The modifications for the Li coefficients are typically of the order 10-20\%, except for L5, where we find a stronger nonlocal influence.
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