Light-front Hamiltonian and path integral formulations of large N scalar QCD2

Recently Grinstein, Jora and Polosa (2009) [5] have studied a model of large N scalar quantum chromodynamics (QCD) in one-space one-time dimensions (cf. G. ʼt Hooft (1974) [6]). This theory admits a Bethe–Salpeter equation describing the discrete spectrum of qq¯ bound states. They consider the gauge fields in the adjoint representation of SU(N) and the scalar fields in the fundamental representation. The theory is asymptotically free and linearly confining. In this work, we present the light-front quantization of this theory using the Hamiltonian and path integral formulations under appropriate light-cone gauges.