English

Chiral Meson Lagrangians from the QCD Based NJL Model Modified by Nonlocal Effects

High Energy Physics - Phenomenology 2007-05-23 v1

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 p4p^4-lagrangian up to first order in this parameter. The modifications for the LiL_i coefficients are typically of the order 10-20\%, except for L5L_5, where we find a stronger nonlocal influence.

Cite

@article{arxiv.hep-ph/9404309,
  title  = {Chiral Meson Lagrangians from the QCD Based NJL Model Modified by Nonlocal Effects},
  author = {A. A. Bel'kov and A. V. Lanyov and A. Schaale and S. Scherer},
  journal= {arXiv preprint arXiv:hep-ph/9404309},
  year   = {2007}
}