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Title: Light-Front-Quantized QCD in Light-Cone Gauge

Abstract

The light-front (LF) quantization of QCD in light-cone gauge has a number of remarkable advantages, including explicit unitarity, a physical Fock expansion, the absence of ghost degrees of freedom, and the decoupling properties needed to prove factorization theorems in high momentum transfer inclusive and exclusive reactions. We present a systematic study of LF-quantized gauge theory following the Dirac method and construct the Dyson-Wick S-matrix expansion based on LF-time-ordered products. The gauge field is shown to satisfy the Lorentz condition as an operator equation as well as the light-cone gauge condition. Its propagator is found to be transverse with respect to both its four-momentum and the gauge direction. The propagator of the dynamical + part of the free fermionic field is shown to be causal and to not contain instantaneous terms. The interaction Hamiltonian of QCD can be expressed in a form resembling that of covariant theory, except for additional instantaneous interactions which can be treated systematically. The renormalization factors are shown to be scalars and we find Z1 = Z3 at one loop order. The running coupling constant and QCD {beta} function are also computed in the noncovariant light-cone gauge. Some comments on the relationship of our LF framework tomore » the analytic effective charge and renormalization scheme defined by the pinch technique are made. LF quantization thus provides a consistent formulation of gauge theory, despite the fact that the hyperplanes x{sup {+-}} = 0 used to impose boundary conditions constitute characteristic surfaces of a hyperbolic partial differential equation.« less

Authors:
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
784789
Report Number(s):
SLAC-PUB-8711
TRN: AH200131%%501
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 30 Nov 2000
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY CONDITIONS; COUPLING CONSTANTS; DEGREES OF FREEDOM; EFFECTIVE CHARGE; MOMENTUM TRANSFER; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM CHROMODYNAMICS; S MATRIX; INCLUSIVE INTERACTIONS; EXCLUSIVE INTERACTIONS; UNIFIED GAUGE MODELS

Citation Formats

Brodsky, Stanley J. Light-Front-Quantized QCD in Light-Cone Gauge. United States: N. p., 2000. Web. doi:10.2172/784789.
Brodsky, Stanley J. Light-Front-Quantized QCD in Light-Cone Gauge. United States. https://doi.org/10.2172/784789
Brodsky, Stanley J. 2000. "Light-Front-Quantized QCD in Light-Cone Gauge". United States. https://doi.org/10.2172/784789. https://www.osti.gov/servlets/purl/784789.
@article{osti_784789,
title = {Light-Front-Quantized QCD in Light-Cone Gauge},
author = {Brodsky, Stanley J},
abstractNote = {The light-front (LF) quantization of QCD in light-cone gauge has a number of remarkable advantages, including explicit unitarity, a physical Fock expansion, the absence of ghost degrees of freedom, and the decoupling properties needed to prove factorization theorems in high momentum transfer inclusive and exclusive reactions. We present a systematic study of LF-quantized gauge theory following the Dirac method and construct the Dyson-Wick S-matrix expansion based on LF-time-ordered products. The gauge field is shown to satisfy the Lorentz condition as an operator equation as well as the light-cone gauge condition. Its propagator is found to be transverse with respect to both its four-momentum and the gauge direction. The propagator of the dynamical + part of the free fermionic field is shown to be causal and to not contain instantaneous terms. The interaction Hamiltonian of QCD can be expressed in a form resembling that of covariant theory, except for additional instantaneous interactions which can be treated systematically. The renormalization factors are shown to be scalars and we find Z1 = Z3 at one loop order. The running coupling constant and QCD {beta} function are also computed in the noncovariant light-cone gauge. Some comments on the relationship of our LF framework to the analytic effective charge and renormalization scheme defined by the pinch technique are made. LF quantization thus provides a consistent formulation of gauge theory, despite the fact that the hyperplanes x{sup {+-}} = 0 used to impose boundary conditions constitute characteristic surfaces of a hyperbolic partial differential equation.},
doi = {10.2172/784789},
url = {https://www.osti.gov/biblio/784789}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Nov 30 00:00:00 EST 2000},
month = {Thu Nov 30 00:00:00 EST 2000}
}