Confinement and U(1,3) symmetry of color particles in a complex phase space

It is shown that a universal confining potential for hadron constituents can be obtained with the help of U(1,3) symmetry in a complex phase space. Parameters of this potential are determined on the basis of spectroscopic data for hadrons and results of lattice QCD calculations. We argue that the account of the U(1,3) symmetry is important for a description of strong interactions of quarks and gluons in a nonperturbative QCD domain at large interaction distances.