Black hole physics, confining solutions of SU(3)-Yang-Mills equations and relativistic models of mesons

Abstract

The black hole physics techniques and results are applied to find the set of the exact solutions of the SU(3)-Yang-Mills equations in Minkowski spacetime in the Lorentz gauge. All the solutions contain only the Coulomb-like or linear in $r$ components of SU(3)-connection. This allows one to obtain some possible exact and approximate solutions of the corresponding Dirac equation that can describe the relativistic bound states. Possible application to the relativistic models of mesons is also outlined.

Comments: 13 pages, LaTeX with using the mpla1.sty file from the package of World Scientific Publishing Co