Analogies between Lattice QCD and the Truncated Nambu Jona-Lasinio model

Abstract

A modified Nambu{Jona-Lasinio Model with lattice structure is
 very instructive. It shows several similar problems and their solutions
 as the Lattice QCD. We study the limits of the large box size, small
 cell size and realistic pion mass. In particular, we study the relation of
 the discrete (bound state) solutions to the physical scattering states,
 for example the pion-pion scattering.