EXACT-SOLUTIONS IN THE YANG-MILLS-WONG THEORY

This paper discusses in a systematical way exact retarded solutions to the classical SU(N) Yang-Mills equations with the source composed of several colored point particles. A new method of finding such solution s is reviewed. Relying on features of the solutions, a toy model of qu ark binding is suggested. According to this model, quarks forming a ha dron are influenced by no confining force in spite of the presence of a linearly rising term of the potential. The large-N dynamics of quark s conforms well with Witten's phenomenology. On the semiclassical leve l, hadrons are color neutral in the Gauss law sense. Nevertheless, a s pecific multiplet structure is observable in the form of the Regge seq uences related to infinite-dimensional unitary representations of SL(4 ,R) which is shown to be the color gauge group of the background field generated by any hadron. The simultaneous consideration of SU(N), SO( N), and Sp(N) as gauge groups offers a plausible explanation of the fa ct that clusters containing two or three quarks are more stable than m ultiquark clusters.