Three Lectures on Lattice Gauge Theory

  • J. B. Kogut
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 31)


Continuum Limit Gauge Field Lattice Theory Lattice Gauge Theory Vector Particle 
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  1. 1.
    The term “Quantum Chromodynamics” has been suggested by M. Gell-Mann. Advantages of this theory over previous field theoretic formulations of the quark model were pointed out by H. Fritzsch, M. Gell-Mann and H. Leutwyler, Phys. Lett. 47B, 365 (1973).Google Scholar
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    Applications to deep inelastic scattering: D.J. Gross and F. Wilczek, Phys. Rev. D8, 3633 (1973) and D9, 980 (1974), and H. Georgi and H.D. Politzer, Phys. Rev. D9, 416 (1974). Electron- positron annihilation : T. Appelquist and H. Georgi, Phys. Rev. D8, 4000 (1973) and A. Zee, Phys. Rev. D8, 4038 (1973). The AI = 1/2 rule: M.K. Gaillard and B.W. Lee, Phys. Rev. Lett. 33, 108 (1974) and works by many other authors.ADSGoogle Scholar
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    A similar argument implies that colorful gluons do not exist in the finite energy spectrum of the theory.Google Scholar
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    Colored quark models are discussed by H. Fritzsch and M. Gell-Mann, in Proceedings of the Sixteenth International Conference on High Energy Physics, The University of Chicago and National Accelerator Laboratory, 1972, edited by J.D. Jackson and A. Roberts ( National Accelerator Laboratory, Batavia, National Accelerator Laboratory, 1973 ), Vol. 2, p. 135.Google Scholar
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    J. Shigemitsu and S. Elitzur, CLNS-333 (May 1976), to appear in Phys. Rev. D. The dynamical symmetry breaking and mass gap equation for large N were obtained by A. Zee, Phys. Rev. D12 , 3251 (1 975).Google Scholar
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    Leonard Susskind, “Lattice Fermions”, Ecole Normale Superieure preprint, December 1975 (submitted for publication).Google Scholar
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    Most recently, see A. Luther, Nordita preprint, June 1976, and the references therein.Google Scholar
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    See E. Merzbacher, Quantum Mechanics (John Wiley and Sons, Inc., New York, 197o), 2nd Ed., Chap. 17, Sec. 8, for a discussion of the Feynman-Hellmann Theorem.Google Scholar
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    Background on Pade approximants may be gleaned from G.A. Baker, Jr., Essentials of Pade Approximants (Academic Press, New York, 1975 ). Other reviews which discuss many applications include J.L. Basdevant, Fortschritte der Physik 20, 283 (1973 (and J. Zinn-Justin, Physics Reports 1Cy No. 3 (1 973).Google Scholar
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    K. Lane, Phys. Rev. D10, 1353, 2605 (1974). See also D. J. Gross and A. Neveu, ibid. D10, 3235 (1974).Google Scholar
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    J. Kogut, D.K. Sinclair and Leonard Susskind, CLNS-336 (June 1976), to appear in Nucl. Phys. B.Google Scholar
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    R. Fredrickson, in progress.Google Scholar
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    The C.O.T.Y. Collaboration, “Strong Coupling Calculations of the Hadron Spectrum of Quantum Chromo- dynamics”, CLNS-339 (July 4, 1976 ).Google Scholar
  33. 33.
    K.G. Wilson, unpublished.Google Scholar

Copyright information

© Plenum Press, New York 1978

Authors and Affiliations

  • J. B. Kogut
    • 1
  1. 1.Laboratory of Nuclear StudiesCornell UniversityIthacaUSA

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