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arXiv · hep-ph/0008293

Light-Front QCD in Light-Cone Gauge

Prem P. Srivastava·Stanley J. Brodsky
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Abstract

The light-front (LF) quantization 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.

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Prem P. Srivastava, Stanley J. Brodsky. 2000-08-28. Light-Front QCD in Light-Cone Gauge. https://doi.org/10.1142/9789812811653_0056

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