A temporarily freeSU 6 gauge field theory model for strong interactions

Abstract

An analysis of experimental facts in low- and high-energy hadron interactions and theoretical results in gauge field theory leads to the conclusion that theSU6 totally spontaneously broken, temporary free gauge field model is a natural candidate for a description of strong hadron interactions. The model is based on the observed massive vector mesons and fermions. It is shown that the Higgs sector can be chosen in such a manner that—even after totalSU6 symmetry breaking—there survives a global symmetrySU2×U 1 s ×U 1 c ×U 1 b ×U 1 t which coincides with the observed isospin, strangeness, charm, beauty and top symmetry. The renormalization group analysis indicates that the model is temporarily free. It is shown that all vector mesons reggeize and their parent and daughter Regge trajectories are calculated in the leading-logarithm approximation. It is shown also that all fundamental fermions which can be taken either in vector or adjoint representation also reggeize. Due to temporary freedom the model possesses the scaling properties and enables a perturbative analysis of high-energy of processes. Since the model is based on observed hadrons the analysis of exclusive processes is considerably facilitated. It is shown, in particular, that the model predicts a new form of baryon-baryon and baryon-antibaryon high-energy total cross-section: it is noteworthy that the obtained cross sections are decreasing for moderately high energy and increasing for higher energies in a remarkable agreement with experimental data in the energy interval 10 GeV\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{< } \sqrt s \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{< } \)30 000 GeV.