LIGHT-CONE FORMALISM FOR QCD STRING WITH QUARKS

The light-cone Hamiltonian is derived from the general gauge- and Lore ntz-invariant expression for the q $($) over bar$$ q Green's function, containing confinement via the area law for the Wilson loop. The resu lting Hamiltonian contains in a nonadditive way contributions from qua rk and string degrees of freedom, exemplifying in a nontrivial way non perturbative dynamics on the light cone. Different limiting regimes ar e considered, e.g. in two dimensions the Hamiltonian reduces to that o f the 't Hooft model for 1+1 QCD.