A ug 2 00 0 SLAC - PUB - 8591 August 2000 LIGHT - FRONT QCD IN LIGHT - CONE GAUGE

The light-front (LF) quantization [1] of QCD in light-cone (l.c.) gauge is discussed. The Dirac method is employed to construct the LF Hamiltonian and theory quantized canonically. The Dyson-Wick perturbation theory expansion based on LF-time ordering is constructed. The framework incorporates in it simultaneously the Lorentz gauge condition as an operator equation as well. The propagator of the dynamical ψ+ 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 the form closely resembling the one in covariant theory, except for additional instantaneous interactions, which can be treated systematically. Some explicit computations in QCD are given. Presented at VII Hadron Physics 2000 Caraguatatuba, São Paulo, Brazil 10–15 April 2000 Research partially supported by the Department of Energy under contract DE-AC03-76SF00515 E-mail: [email protected] or [email protected] E-mail: [email protected]