Light-front-quantized QCD in light-cone gauge

The light-front (LF) quantization(1) of QCD in light-cone (1.c.) gauge is discussed. The Dirac method is employed to construct the LF Hamiltonian and canonical quantization of QCD. The Dyson-Wick perturbation theory expansion based on LF-time ordering is constructed. The framework automatically incorporates the Lorentz condition as an operator equation. The propagator of the dynamical psi (+) part of the free fermionic propagator is shown to be causal, while the gauge field propagator is found to be transverse. The interaction Hamiltonian is re-expressed in a form closely resembling the one in conventional theory, except for additional instantaneous interactions. The fact that gluons have only physical degrees of freedom in 1.c. gauge may provide an analysis of coupling renormalization similar to that of the pinch technique, which is currently being discussed as a physical and analytic renormalization scheme for QCD.