Quantum chromodynamics and other field theories on the light cone

1997/05/29 by Stanley J. Brodsky, S. Brodsky, Hans–Christian Pauli +3 · 17 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Fock space #Fock state #Gauge theory #Light cone #Lorentz covariance #Lorentz transformation #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Theoretical physics #hep-ph

paper · pdf · doi:10.1016/s0370-1573(97)00089-6

published as Phys.Rept.301:299-486,1998 · 206 pages Latex, figures included, Submitted to Physics Reports

arxiv created 1997/05/29 · openalex publication_date 1998/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss the light-cone quantization of gauge theories as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and also as a novel method for simulating quantum field theory on a computer. The light-cone Fock state expansion of wavefunctions provides a precise definition of the parton model and a general calculus for hadronic matrix elements. We present several new applications of light-cone Fock methods, including calculations of exclusive weak decays of heavy hadrons, and intrinsic heavy-quark contributions to structure functions. Discretized light-cone quantization, is outlined and applied to several gauge theories. We also discuss the construction of the light-cone Fock basis, the structure of the light-cone vacuum, and outline the renormalization techniques required for solving gauge theories within the Hamiltonian formalism on the light cone.

Citations

• Quantization of non-Abelian gauge theories
• Hamiltonian Formulations of Yang-Mills Quantum Theory and the Gribov Problem
• Solving Gauge Field Theory by Discretized Light-Cone Quantization
• Another Conjecture about M(atrix) Theory
• The Proton Spin Structure in a Light-Cone Qaurk-Spectator-Diquark Model
• Exact renormalization group analysis in Hamiltonian theory: I. QED Hamiltonian on the light front
• The Spectrum of QED₁₊₁ in the framework of the DLCQ method
• Massive Schwinger Model for Small Fermion Mass
• Bound states of 1+1 dimensional field theories
• Role of Zero Modes in Quantization of QCD in Light-Cone Coordinates
• The Principles of Quantum Mechanics
• Generalized Hamiltonian Dynamics
• Wavefunction-independent relations between the nucleon axial-coupling gA and the nucleon magnetic moments
• The Mandelstam-Leibbrandt prescription in light-cone quantized gauge theories
• Very High-Energy Collisions of Hadrons
• Initial studies of bound states in light-front QCD
• QCD near the light cone
• Melosh rotation: source of the proton's missing spin
• Interacting Fermion Systems from Two Dimensional QCD
• (1+1)-dimensional large-NQCD coupled to adjoint fermions
• Magnetic moments of the baryon decuplet in a relativistic quark model
• Discretized light cone quantization and the coherent state basis
• The renormalization group: Critical phenomena and the Kondo problem
• Constraints in Covariant Field Theories
• On Unitary Representations of the Inhomogeneous Lorentz Group
• Glueball spectrum in a (1 + 1)-dimensional model for QCD
• Using nuclei to probe hadronization in QCD
• (3+1)-dimensional light-front model with spontaneous breaking of chiral symmetry
• Weak decay form factors of heavy pseudoscalar mesons within a light-front constituent quark model
• A schematic model of baryons and mesons
• Flow‐equations for Hamiltonians
• Classical Electrodynamics
• Spontaneous symmetry breaking of (1+1)-dimensionalφ4theory in light-front field theory. II
• A Treatise on Electricity and Magnetism
• Quarks

Cited by

• Quantum Computation for Jets in Heavy Ion Collisions
• Hamiltonian light-front field theory in a basis function approach
• Discrete symmetries on the light front and a general relation connecting the nucleon electric dipole and anomalous magnetic moments
• Universal description ofS-wave meson spectra in a renormalized light-cone QCD-inspired model
• Current in the light-front Bethe-Salpeter formalism. I. Replacement of non-wave-function vertices
• Radiation reaction from QED: Lightfront perturbation theory in a plane wave background
• Electromagnetic and gravitational form factors in simulated QED and Yukawa model
• Light-front Hamiltonian, path integral and BRST formulations of the Chern–Simons–Higgs theory under appropriate gauge fixing
• Timelike and spacelike hadron form factors, Fock state components and light-front dynamics
• The pion: an enigma within the Standard Model
• Transverse lattice calculation of the pion light-cone wave functions
• Applications of Basis Light-Front Quantization to QED
• Final state interactions in single- and multiparticle inclusive cross sections for hadronic collisions
• Study of light-cone distribution amplitudes forp-wave heavy mesons
• Light-front quantization with the light cone gauge
• Pseudoscalar mesons with symmetric bound state vertex functions on the light front
• Mesonic content of the nucleon and the Roper resonance