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Quarks and Strings on a Lattice

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New Phenomena in Subnuclear Physics

Part of the book series: The Subnuclear Series ((SUS,volume 13))

Abstract

Three lectures describe the lattice version of the color gauge theory of quarks. The string interpretation of the theory is emphasized. The strong coupling expansion is defined by a set of Feynman rules. The dominant diagrams are identified. The result is that for strong quark-gluon coupling, the lattice spacing is about 1/5 x 10−13cm, the nucleon has a mass of 1720 MeV/c2 while the N* mass is 1750 MeV/c. The π and ρ masses are fitted to experiment. The relativistic limit is explained for free field theories on a lattice. For the colored quark theory only a few aspects of the relativistic continuum limit are discussed. It is shown how short wavelength string fluctuations are suppressed. It is shown that the classical limit of the lattice theory is the relativistic continuum color gauge theory.

Erice lecture notes, 1975.

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References

  1. R. P. Feynman, The Character of Physical Law (M.I.T. Press, Cambridge, 1967), p. 171.

    Google Scholar 

  2. O. W. Greenberg, Phys. Rev. Lett. 13 598 (1964). W. A. Bardeen, H. Fritzsch, and M. Gell-Mann in Scale and Conformal Symmetry in Hadron Physics, ed. R. Gatto (Wiley, New York, 1973).

    Article  ADS  Google Scholar 

  3. See, e.g., H. D. Politzer, Phys. Repts. 14C, 130 (1974).

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  4. K. G. Wilson, Phys. Rev. D10, 2445 (1974). R. Balian, J. Drouffe, and C. Itzykson, Phys. Rev. D10, 3376 (1974); ibid 11, 2098, 2104 (1975). J. Kogut and L. Susskind, Phys. Rev. D11, 395 (1975) C. Korthals Alles, Proceedings of the Marseille Conference on Gauge Theories (1974) K. G. Wilson, ibid., V. Baluni and J. Willemsen, M.I.T. preprint A. A. Migdal, Cernogolovka preprint K. G. Wilson, Phys. Repts. (to be published) T. Banks, L. Susskind, and J. Kogut, Cornell preprint CLNS-318

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  5. See, for example, K. Wilson, Revs. Mod. Phys. (to be published); T. Bell and K. G. Wilson, Phys. Rev. B11, 3431 (1975; and L. Kadanoff and A. Houghton, Brown preprint. The last reference reports a method of solution for the φ4 field theory in 4 space-time dimensions.

    Google Scholar 

  6. K. G. Wilson and J. B. Kogut, Phys. Rept. 12C, 75 (1974).

    Article  ADS  Google Scholar 

  7. J. Willemsen, Phys. Rev. D8, 4457 (1973).

    ADS  Google Scholar 

  8. See, e.g., E. Abers and B. W. Lee, Phys. Repts. 9C, 1 (1973).

    Article  ADS  Google Scholar 

  9. D. Jasnow and M. Wortis, Phys. Rev. 176, 739 (1968).

    Article  ADS  Google Scholar 

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© 1977 Plenum Press, New York

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Wilson, K.G. (1977). Quarks and Strings on a Lattice. In: Zichichi, A. (eds) New Phenomena in Subnuclear Physics. The Subnuclear Series, vol 13. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4208-3_6

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  • DOI: https://doi.org/10.1007/978-1-4613-4208-3_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4210-6

  • Online ISBN: 978-1-4613-4208-3

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