  There exists the problem to construct a quantum algebra of observables in
lightcone QCD beyond the perturbative regime. It has recently established that
the boundary gauge fields are crucial for a consistent construction of the
classical dynamic system. If the gauge group is non-Abelian and there are four
or more space-time dimensions then the procedure of symplectic reduction gives
a classical dynamical system with very complicated Hamiltonian having infinite
power over the coupling constant. Then, to quantize the theory one should to
construct a Poisson algebra and to quantize it. Careful analysis shows that a
Poisson formulation has a problem with: canonical commutation relations,
spatial invariance, and the boundary degrees of freedom in the Hamiltonian.
