Hadronization of QCD and effective interactions

Abstract

An introductory treatment of hadronization through functional integral calculus and bilocal Bose fields is given. Emphasis is placed on the utility of this approach for providing a connection between QCD and effective hadronic field theories. The hadronic interactions obtained by this method are nonlocal due to the QCD substructure, yet, in the presence of an electromagnetic field, maintain the electromagnetic gauge invariance manifest at the quark level. A local chiral model which is structurally consistent with chiral perturbation theory is obtained through a derivative expansion of the nonlocalities with determined, finite coefficients. Tree‐level calculations of the pion form factor and π–π scattering, which illustrate the dual constituent‐quark–chiral‐model nature of this approach, are presented.