Light-Front QCD in Light-Cone Gauge

Technical Report · Tue Aug 29 04:00:00 EDT 2000

DOI:https://doi.org/10.2172/764989· OSTI ID:764989

Brodsky, Stanley J ^[1]

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1. SLAC

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 psi{sub +} 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.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (US)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 764989
• Report Number(s): SLAC-PUB-8591
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
HAMILTONIANS
LIGHT CONE
PERTURBATION THEORY
PROPAGATOR
QUANTIZATION
QUANTUM CHROMODYNAMICS