A Nonlocal Model of Chiral Dynamics

By B. Holdom, J. Terning, K. Verbeek
Published in Phys.Lett.B232:351,1989.

We consider a nonlocal generalization of the the nonlinear sigma model. Our chirally symmetric model couples quarks with self energy Sigma(p) to Goldstone bosons (GBs). By integrating out the quarks we obtain a chiral Lagrangian, the parameters of which are finite integrals of Sigma(p). We find that chiral symmetry is not sufficient to derive the well-known Pagels-Stokar formular for the GB decay constant. We reproduce the Wess-Zumino term and we illustrate the dependence of other four derivative coefficients on Sigma(p).