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Title: Light-front-quantized QCD in the light-cone gauge: The doubly transverse gauge propagator

Abstract

The light-front (LF) quantization of QCD in the 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 a Dyson-Wick S-matrix expansion based on LF time-ordered products. The free theory 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 4 momentum and the gauge direction. 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 constants in YM theory are shown to satisfy the identity Z{sub 1}=Z{sub 3} at one-loop order. The QCD {beta} function, computed in the noncovariant light-cone gauge, agrees with that known in the conventional framework. Some comments are also made about the relationship of our LF framework, with a doubly transverse gauge propagator, to the analytic effective charge and renormalization scheme definedmore » by the pinch technique, the unitarity relations, and the spectral representation. 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:
Sponsoring Org.:
(US)
OSTI Identifier:
40230603
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 64; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.64.045006; Othernumber: PRVDAQ000064000004045006000001; 097114PRD; PBD: 15 Aug 2001; Journal ID: ISSN 0556-2821
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY CONDITIONS; DEGREES OF FREEDOM; EFFECTIVE CHARGE; LIGHT CONE; PARTIAL DIFFERENTIAL EQUATIONS; PROPAGATOR; QUANTUM CHROMODYNAMICS; S MATRIX

Citation Formats

Srivastava, Prem P, and Brodsky, Stanley J. Light-front-quantized QCD in the light-cone gauge: The doubly transverse gauge propagator. United States: N. p., 2001. Web. doi:10.1103/PhysRevD.64.045006.
Srivastava, Prem P, & Brodsky, Stanley J. Light-front-quantized QCD in the light-cone gauge: The doubly transverse gauge propagator. United States. https://doi.org/10.1103/PhysRevD.64.045006
Srivastava, Prem P, and Brodsky, Stanley J. 2001. "Light-front-quantized QCD in the light-cone gauge: The doubly transverse gauge propagator". United States. https://doi.org/10.1103/PhysRevD.64.045006.
@article{osti_40230603,
title = {Light-front-quantized QCD in the light-cone gauge: The doubly transverse gauge propagator},
author = {Srivastava, Prem P and Brodsky, Stanley J},
abstractNote = {The light-front (LF) quantization of QCD in the 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 a Dyson-Wick S-matrix expansion based on LF time-ordered products. The free theory 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 4 momentum and the gauge direction. 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 constants in YM theory are shown to satisfy the identity Z{sub 1}=Z{sub 3} at one-loop order. The QCD {beta} function, computed in the noncovariant light-cone gauge, agrees with that known in the conventional framework. Some comments are also made about the relationship of our LF framework, with a doubly transverse gauge propagator, to the analytic effective charge and renormalization scheme defined by the pinch technique, the unitarity relations, and the spectral representation. 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 = {10.1103/PhysRevD.64.045006},
url = {https://www.osti.gov/biblio/40230603}, journal = {Physical Review D},
issn = {0556-2821},
number = 4,
volume = 64,
place = {United States},
year = {Wed Aug 15 00:00:00 EDT 2001},
month = {Wed Aug 15 00:00:00 EDT 2001}
}