  QCD is analysed with two light-front continuum dimensions and two transverse
lattice dimensions. In the limit of large number of colours and strong
transverse gauge coupling, the contributions of light-front and transverse
directions factorise in the dynamics, and the theory can be analytically solved
in a closed form. An integral equation is obtained, describing the properties
of mesons, which generalises the 't Hooft equation by including spin degrees of
freedom. The meson spectrum, light-front wavefunctions and form factors can be
obtained by solving this equation numerically. These results would be a good
starting point to model QCD observables which only weakly depend on transverse
directions, e.g. deep inelastic scattering structure functions.
