Light-cone quantization of quantum chromodynamics

  • St. J. Brodsky
  • H. -Ch. Pauli
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 396)


We discuss the light-cone quantization of gauge theories from two perspectives: 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 at fixed light cone time 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. A general non-perturbative method for numerically solving quantum field theories, “discretized light-cone quantization,” is outlined and applied to several gauge theories, including QCD in one space and one time dimension, and quantum electrodynamics in physical space-time at large coupling strength. The DLCQ method is invariant under the large class of light-cone Lorentz transformations, and it can be formulated such that ultraviolet regularization is independent of the momentum space discretization. Both the bound-state spectrum and the corresponding relativistic light-cone wavefunctions can be obtained by matrix diagonalization and related techniques. 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 light-cone Hamiltonian formalism.


Gauge Theory Transverse Momentum Heavy Quark Distribution Amplitude Annihilation Cross Section 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • St. J. Brodsky
    • 1
  • H. -Ch. Pauli
    • 2
  1. 1.Stanford Linear Accelerator CenterStanford UniversityStanfordUSA
  2. 2.Max-Planck-Institut für KernphysikHeidelberg 1Germany

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