Quantum chromodynamics and the nucleon-nucleon interaction

Quantum chromodynamics is assumed to be the correct theory for strong interactions. This conviction stems solely from extremely high energy data with momentum transfers of 10 GeV/c and larger where the running coupling constant αs(q2) is small and perturbation theory can be used. At low energy hadron and nuclear physics we have a length scale between 0.2 and 20 fm corresponding to momentum transfers of 10 to 1000 MeV/c. This means that we cannot use perturbative methods to solve QCD. There are promises that QCD on the lattice could once yield exact results for these low energy data, but at the moment we have not even reliably results with this approach to describe a single nucleon and therefore we are far away to understand with lattice QCD the nucleon-nucleon interaction. We propose here by doing an averaging on the lattice to introduce colour displacement fields for the colour electric and the colour magnetic field strength treating the dielectric constant as a dynamical variable which describes collective quantities of gluons (something similar to collective glueballs). (orig./WL)