GLUEBALLS FROM (1-DIMENSIONAL GAUGE-THEORIES WITH TRANSVERSE DEGREES OF FREEDOM(1))

We study (1+1)-dimensional SU(N) gauge theories with adjoint scalar ma tter representations, based on a dimensional truncation of 2+1 and (31)-dimensional pure QCD, which approximate the dynamics of transversel y polarized gluons. The glueballs are investigated non-perturbatively using light-front quantisation, detailed spectra and wave functions be ing obtained for the large-N limit. In general there is some qualitati ve agreement of the spectra with lattice Monte Carlo data from the hig her-dimensional QCD. From the light-front wave functions we calculate (polarized) structure functions and interpret the gluon and spin conte nt of glueballs. We discuss the phase structure of the reduced theorie s in relation to matrix models for relativistic non-critical strings.