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Quantum chromodynamics and other field theories on the light cone
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文摘
In recent years light-cone quantization of quantum field theory has emerged as a promising method for solving problems in the strong coupling regime. The approach has a number of unique features that make it particularly appealing, most notably, the ground state of the free theory is also a ground state of the full theory. 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 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. This 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 Hamiltonian formalism on the light cone. Publisher: Elsevier Science Language of Publication: English Item Identifier: S0370-1573(97)00089-6 Publication Type: Article ISSN: 0370-1573 Cited by:
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  18. Brisudova, Martina,""Small x divergences in a heavy quark-antiquark state""Nuclear Physics B - Proceedings Supplements2002pp. 173-175
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  20. Krassnigg, A.; Pauli, H.C.,""On helicity and spin on the light cone""Nuclear Physics B - Proceedings Supplements2002pp. 251-255
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  21. Karmanov, V.A.; Carbonell, J.; Mangin-Brinet, M.,""Two-fermion bound states in the explicitly covariant light-front dynamics""Nuclear Physics B - Proceedings Supplements2002pp. 256-258
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  22. Mangin-Brinet, M.; Carbonell, J.; Karmanov, V.A.,""Stability of two-fermion bound states in the explicitly covariant light-front dynamics""Nuclear Physics B - Proceedings Supplements2002pp. 259-263
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  34. Pinsky, S.S.,""Discrete light-cone quantization on a twisted torus""Physics Letters B2003pp. 273-277
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  36. Belitsky, A.V.; Ji, X.; Yuan, F.,""Final state interactions and gauge invariant parton distributions""Nuclear Physics B2003pp. 165-198
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  37. Ji, Xiangdong; Ma, Jian-Ping; Yuan, Feng,""Three-quark light-cone amplitudes of the proton and quark orbital-motion-dependent observables""Nuclear Physics B2003pp. 383-404
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  40. Diehl, M.,""Generalized parton distributions""Physics Reports2003pp. 41-277
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  42. Lenz, Frieder,""The trivial light-cone vacuum and condensates""Nuclear Physics B - Proceedings Supplements2000pp. 46-50
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  43. Pirner, Hans J.,""Wilson lines near the light cone""Nuclear Physics B - Proceedings Supplements2000pp. 51-54
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  44. Martinovic, L'ubomir; Vary, James P.,""Light-front aspects of chiral symmetry""Nuclear Physics B - Proceedings Supplements2000pp. 57-60
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  45. Vian, F.; Bassetto, A.; Griguolo, L.,""Multiple vacua in two-dimensional Yang-Mills theory""Nuclear Physics B - Proceedings Supplements2000pp. 61-63
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  46. Heinzl, T.,""The light-cone wave function of the pion""Nuclear Physics B - Proceedings Supplements2000pp. 83-86
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  47. Perry, Robert J.,""Glue in the light-front pion""Nuclear Physics B - Proceedings Supplements2000pp. 87-90
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  48. Brisudova, M.M.; Burakovsky, L.; Goldman, T.,""Lessons from hadron phenomenology""Nuclear Physics B - Proceedings Supplements2000pp. 120-122
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  49. Mangin-Brinet, M.; Carbonell, J.; Karmanov, V.A.,""Weak binding limit and non zero angular momentum states in light-front dynamics""Nuclear Physics B - Proceedings Supplements2000pp. 123-126
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  50. Pauli, Hans-Christian,""Applying the flow equations to QCD""Nuclear Physics B - Proceedings Supplements2000pp. 147-153
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  51. Pauli, Hans-Christian,""On the effective light-cone QCD-Hamiltonian: Application to the pion and other mesons""Nuclear Physics B - Proceedings Supplements2000pp. 154-160
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30"">
Footnotes:

  1. Work partially supported by the Department of Energy, contract DE-AC03-76SF00515, by the National Natural Science Foundation of China under grants No. 19605006 and No. 19975052, by Fondecyt (Chile) under grants 1990806 and 8000017, and by a Catedra Presidencial (Chile).

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