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.

Keywords

• Nambu–Jona-Lasinio Model
• pion-pion scattering
• sigma meson