Quantum chromodynamics and other field theories on the light cone

1997/05/29 by Stanley J. Brodsky, S. Brodsky, Hans–Christian Pauli +3 · 1,514 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 in Physics Reports 301(4-6), 299-486 (Elsevier BV) · 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

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• Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front
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• Deep inelastic structure functions in light-front QCD: Radiative corrections
• Generalized Gell-Mann–Low theorem for relativistic bound states
• All-vortex nonlinear Compton scattering in a polarized laser field
• Tensor form factors of P→ P, S, V and A transitions within standard and covariant light-front approaches *
• Inclusive production of charged pion pairs in proton-antiproton collisions
• On the nonperturbative solution of Pauli–Villars-regulated light-front QED: A comparison of the sector-dependent and standard parameterizations
• Relativistic Descriptions of Few-Body Systems
• Dynamical chiral symmetry breaking on the light front. II. The Nambu–Jona-Lasinio model
• Understanding the Valence Quark Structure of the Pion through GTMDs
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• Equation-of-motion and Lorentz-invariance relations for tensor-polarized parton distribution functions of spin-1 hadrons
• Chiral-symmetry breaking and confinement in Minkowski space
• Probing short-range nucleon-nucleon interactions with an electron-ion collider
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• Ab initiononperturbative calculation of physical observables in light-front dynamics: Application to the Yukawa model
• Generalized Counting Rule for Hard Exclusive Processes
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• Covariant light-front approach for heavy quarkonium: decay constants,P→ γγ andV→Pγ
• Polarized electron-deuteron deep-inelastic scattering with spectator nucleon tagging
• Single-particle digitization strategy for quantum computation of a ϕ4 scalar field theory
• Target mass corrections for virtual Compton scattering at twist-2 and generalized, nonforward Wandzura–Wilczek and Callan–Gross relations
• Two-dimensional super Yang-Mills theory investigated with improved resolution
• Light-cone representation of the spin and orbital angular momentum of relativistic composite systems
• Hadron optics in three-dimensional invariant coordinate space from deeply virtual Compton scattering
• Insights into the emergence of mass from studies of pion and kaon structure
• Non-perturbative quantum time evolution on the light-front
• Basis of symmetric polynomials for many-boson light-front wave functions
• 0-Brane Matrix Dynamics for QCD Purposes: Regge Trajectories
• Nuclear deep-inelastic lepton scattering and coherence phenomena
• Perspective on the Origin of Hadron Masses
• Electromagnetic structure of theρmesonin the light-front quark model
• Transverse Momentum p_\mathrm T Spectra of Strange Particles Production in Different Collisions at √ s_NN = 2.76, 5.02 and 7 TeV
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• Stability of bound states in the light-front Yukawa model