Quantum Chromodynamics and Other Field Theories on the Light Cone

Quantum Chromodynamics and Other Field Theories on the Light Cone

28 April 1997 | Stanley J. Brodsky, Hans-Christian Pauli, Stephen S. Pinsky
**Summary:** This paper discusses the application of light-cone quantization in quantum field theories, particularly in Quantum Chromodynamics (QCD). Light-cone quantization provides a powerful framework for solving problems in the strong coupling regime by defining the ground state of the free theory as the ground state of the full theory. The approach is presented from two perspectives: as a tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and as a novel method for simulating quantum field theories 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. The paper presents 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. This method is invariant under the large class of light-cone Lorentz transformations and can be formulated such that ultraviolet regularization is independent of the momentum space discretization. The paper also discusses the construction of the light-cone Fock basis, the structure of the light-cone vacuum, and the renormalization techniques required for solving gauge theories within the Hamiltonian formalism on the light cone. The paper reviews the complexities of this formulation of QCD and other quantum field theories, and presents a self-consistent framework for understanding the role of light-cone quantization in hadronic physics. The paper also discusses the impact of light-cone quantization on hadronic physics, including the calculation of hadronic matrix elements, the study of exclusive nuclear processes, and the implications for the structure of hadrons. The paper concludes with a discussion of the prospects and challenges of light-cone quantization in quantum field theories.**Summary:** This paper discusses the application of light-cone quantization in quantum field theories, particularly in Quantum Chromodynamics (QCD). Light-cone quantization provides a powerful framework for solving problems in the strong coupling regime by defining the ground state of the free theory as the ground state of the full theory. The approach is presented from two perspectives: as a tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and as a novel method for simulating quantum field theories 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. The paper presents 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. This method is invariant under the large class of light-cone Lorentz transformations and can be formulated such that ultraviolet regularization is independent of the momentum space discretization. The paper also discusses the construction of the light-cone Fock basis, the structure of the light-cone vacuum, and the renormalization techniques required for solving gauge theories within the Hamiltonian formalism on the light cone. The paper reviews the complexities of this formulation of QCD and other quantum field theories, and presents a self-consistent framework for understanding the role of light-cone quantization in hadronic physics. The paper also discusses the impact of light-cone quantization on hadronic physics, including the calculation of hadronic matrix elements, the study of exclusive nuclear processes, and the implications for the structure of hadrons. The paper concludes with a discussion of the prospects and challenges of light-cone quantization in quantum field theories.
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