- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Strong-coupling calculations of the hadron spectrum of quantum chromodynamics

T. Banks*, S. Raby*, and L. Susskind*,†

J. Kogut*,‡

D. R. T. Jones§, P. N. Scharbach§, and D. K. Sinclair∥

  • Tel Aviv University, Ramat Aviv, Israel

  • Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853

  • Department of Theoretical Physics, University of Oxford, Oxford OX1-3PQ England

  • *Work supported in part by the Israel Commission for Basic Research.
  • †Work supported in part by the National Science Foundation under Grant No. GP-38863. Permanent address: Belfer Graduate School of Science, Yeshiva University, New York, N.Y. 10033.
  • ‡Work supported in part by the Alfred P. Sloan Foundation and in part by the National Science Foundation.
  • §Work supported in part by a grant from I.B.M.
  • ∥Work supported by the U.K. Science Research Council.
PDF

Phys. Rev. D 15, 1111 – Published 15 February, 1977

DOI: https://doi.org/10.1103/PhysRevD.15.1111

Abstract

We present calculations of the low-energy mass spectrum and matrix elements of quantum chromodynamics. We employ an isospin doublet of massless quarks and analyze the theory from the strong-coupling limit using a particularly simple lattice Hamiltonian. In the strong-coupling limit the vacuum state has exact local color symmetry, but spontaneously breaks those elements of chiral symmetry which are present in the lattice Hamiltonian. Expansions for masses (π,ρ,ω,σ,A1,B,f, and nucleon) and matrix elements gA in the reciprocal coupling constant are analytically continued to the continuum limit using Padé approximants. The results are in surprisingly good agreement with experiment except for the pion mass. This single failure is traced to the lack of full chiral symmetry in the theory for large lattice spacing and the lack of significant spin-spin forces in low orders of strong-coupling perturbation theory. Higher-order calculations should resolve this problem, but a more realistic Hamiltonian suggested by renormalization-group analyses also looks promising.

View figure in article

References (16)

  1. H. Fritzsch, M. Gell-Mann, and H. Leutwyler, Phys. Lett. 47B, 365 (1973)
  2. G. 't Hooft, Marseilles conference on gauge theories, 1972 (unpublished) H. D. Politzer, Phys. Rev. Lett. 30, 1346 (1973) D. J. Gross and F. Wilczek, ibid. 30, 1343 (1973)
  3. [2] S. Weinberg, Phys. Rev. Lett. 11, 255 (1964)
  4. K. G. Wilson, Phys. Rev. D 10, 2445 (1974)
  5. A. M. Polyakov (unpublished) Phys. Lett. 59B, 82 (1975)
  6. J. Kogut and Leonard Susskind, Phys. Rev. D 11, 395 (1975) T. Banks, L. Susskind, and J. Kogut, ibid. 13, 1043 (1976)
  7. A. Carroll, J. Kogut, D. K. Sinclair, and L. Susskind, Phys. Rev. D 13, 2270 (1976)
  8. J. Shigemitsu and S. Elitzur, Phys. Rev. D 14, 1988 (1976)
  9. J. Kogut, D. K. Sinclair, and Leonard Susskind, Nucl. Phys. B114, 199 (1976)
  10. P. W. Higgs, Phys. Lett. 12, 132 (1964) Phys. Rev. Lett. 13, 508 (1964) Phys. Rev. 145, 1156 (1966) F. Englert and R. Brout, Phys. Rev. Lett. 13, 321 (1964) G. S. Guralnik, C. R. Hagen, and T. W. B. Kibble, ibid. 13, 585 (1964) T. W. B. Kibble, Phys. Rev. 155, 1554 (1967)

  11. Omitted endnote

  12. L. Susskind, Phys. Rev. D (to be published)
  13. "Search and Discovery" section of Phys. Today 29, No. 7 (1976)
  14. K. G. Wilson and J. Kogut, Phys. Rep. 12C, 75 (1974)
  15. [7]
  16. E. Merzbacher, Quantum Mechanics (Wiley, New York, 1970), 2nd edition, Chap. 17, Sec. 8

Outline

Information

Phys. Rev. D 15, 1111– Published 15 February, 1977
  • Received 13 August 1976

© 1977 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation