Assuming that no Higgs has been found below 1 TeV, we study the physics of longitudinally polarized vector boson (W\(_{\rm L}\)) scattering in the TeV region, using a one loop calculation and partial wave analysis. We show that the occurrence of a resonance in the isospin \(I = 1\) channel depends on a certain parameter called \(\beta \), which is measured near threshold. We investigate the similarity between low energy \(\pi \pi \) scattering and high energy W\(_{\rm L}\)W\(_{\rm L}\) scattering, as suggested by the equivalence theorem.
We review a broad range of approaches to the problem of light quarks propagating through the instanton liquid-like vacuum of the Quantum Chromodynamics. Numerical and analytical techniques are presented.
