TOWARDS SOLVING QCD IN LIGHT-CONE QUANTIZATION - THE SPECTRUM OF THE TRANSVERSE ZERO MODES FOR SU(2)

The formalism for a non-Abelian pure gauge theory in 2+1 dimensions ha s recently been derived within discretized light-cone quantization, re stricting to the lowest transverse momentum gluons. It is argued why t his model can be a paradigm for full QCD. The physical vacuum becomes nontrivial even in light-cone quantization. The approach is brought he re to tractable form by suppressing by hand both the dynamical gauge a nd the constraint zero mode, and by performing a Tamm-Dancoff-type Foc k-space truncation. Within that model the Hamiltonian is diagonalized numerically, yielding mass spectra and wave functions of the glueball states. We find that only color singlets have a stable and discrete bo und state spectrum. The connection with confinement is discussed. The structure function of the gluons has a shape such as [x(1 - x)](1/3). The existence of the continuum limit is verified by deriving a coupled set of integral equations.