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Quantization of nonlinear waves

J. Goldstone* and R. Jackiw

  • Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

  • *Permanent address: Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge, England.
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Phys. Rev. D 11, 1486 – Published 15 March, 1975

DOI: https://doi.org/10.1103/PhysRevD.11.1486

Abstract

We suggest that certain nonlinear field theories possess a particle spectrum, richer than has been heretofore discussed. In addition to states associated with quantization of the free-field modes of oscillation—these are the conventional particles of the theory—there also appear heavy particles, which carry a new quantum number and are stable. An approximation scheme is developed in which the signal for these new particles is the existence of stable static solutions with finite energy to the classical equations of motion. We give a systematic expansion for the theory, with special emphasis on the translational motion.

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References (19)

  1. G. Whitham, Linear and Non-linear Waves (Wiley, New York, 1974) A. Scott, F. Chu, and D. McLaughlin, Proc. IEEE 61, 1443 (1973)
  2. R. Dashen, B. Hasslacher, and A. Neveu [Phys. Rev. D 10, 4114 (1974) ibid.10, 4130 (1974) ibid.10, 4138 (1974)]

  3. Omitted endnote

  4. Omitted endnote

  5. H. B. Nielsen and P. Olesen, Nucl. Phys. B61, 45 (1973) G. 't Hooft, B79, 276 (1974) L. D. Faddeev, Max-Planck Institut report (unpublished) A. M. Polyakov, Landau Institute report (unpublished) R. Dashen et al., [2] T. Eguchi and H. Sugawara, Phys. Rev. D 10, 4257 (1974)
  6. P. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), p. 1650
  7. L. Faddeev and L. Takhtajan, JINR report (unpublished) S. Coleman [Phys. Rev. D (to be published)]
  8. J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D 10, 2428 (1974)

  9. Omitted endnote

  10. Omitted endnote

  11. Omitted endnote

  12. A. Kerman and A. Klein, Phys. Rev. 132, 1326 (1963)

  13. Omitted endnote

  14. S. Coleman, R. Jackiw, and H. D. Politzer, Phys. Rev. D 10, 2491 (1974) Dashen et al., [2]
  15. J. Kuti (unpublished) Kuti's work is given in [8]
  16. ([7])
  17. [14]
  18. T. Skyrme, Proc. R. Soc. A262, 237 (1961) W. Bardeen, M. Chanowitz, S. Drell, M. Weinstein, and T.-M. Yan, Phys. Rev. D 11, 1094 (1975)
  19. J. A. Krumhansl and J. R. Schrieffer, Univ. of Pennsylvania report (unpublished)

Outline

Information

Phys. Rev. D 11, 1486– Published 15 March, 1975
  • Received 11 November 1974

© 1975 American Physical Society

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