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Recent Aspects of Quantum Fields pp 51–121Cite as

Light-cone quantization of quantum chromodynamics

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Part of the book series: Lecture Notes in Physics ((LNP,volume 396))

Abstract

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.

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Authors and Affiliations

  1. Stanford Linear Accelerator Center, Stanford University, Stanford, California, USA

    St. J. Brodsky

  2. Max-Planck-Institut für Kernphysik, D-6900, Heidelberg 1, Germany

    H. -Ch. Pauli

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  1. St. J. Brodsky
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H. Mitter H. Gausterer

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Brodsky, S.J., Pauli, H.C. (1991). Light-cone quantization of quantum chromodynamics. In: Mitter, H., Gausterer, H. (eds) Recent Aspects of Quantum Fields. Lecture Notes in Physics, vol 396. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54978-1_10

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  • DOI: https://doi.org/10.1007/3-540-54978-1_10

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