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Quantum Poincaré covariance of the two-dimensional string

W. A. Bardeen*

Itzhak Bars†

Andrew J. Hanson*

R. D. Peccei‡

  • Fermi National Accelerator Laboratory, Batavia, Illinois 60510

  • Department of Physics, Yale University, New Haven, Connecticut 06520

  • Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

  • Institute of Theoretical Physics, Department of Physics, Stanford University, Stanford, California 94305

  • *Research supported in part by the Energy Research and Development Administration.
  • †Research supported in part by the Energy Research and Development Administration under Contract No. E(11-1)3075
  • ‡Research supported in part by the National Science Foundation under Grant No. PHY 75-18444.
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Phys. Rev. D 14, 2193 – Published 15 October, 1976

DOI: https://doi.org/10.1103/PhysRevD.14.2193

Abstract

We show that the free massive quantum string in two space-time dimensions is Poincaré covariant. This is true for both lightlike and timelike gauge choices. When the massless limit is taken, the massless string is also seen to be Poincaré covariant. The set of classical string variables which is chosen to define the quantum theory drastically affects the proof of Poincaré covariance and also the mass spectrum. We therefore suggest that other dynamical systems may exhibit similar phenomena.

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Original Article

Study of the longitudinal kink modes of the string

W. A. Bardeen, Itzhak Bars, Andrew J. Hanson, and R. D. Peccei
Phys. Rev. D 13, 2364 (1976)

References (12)

  1. W. A. Bardeen, I. Bars, A. J. Hanson, and R. D. Peccei, Phys. Rev. D 13, 2364 (1976)
  2. I. Bars and A. J. Hanson, Phys. Rev. D 13, 1744 (1976)
  3. G. 't Hooft, Nucl. Phys. B75, 461 (1975)
  4. I. Bars, Phys. Rev. Lett. 36, 1521 (1976)
  5. E. Del Giudice, P. Di Vecchia, and S. Fubini, Ann. Phys. (N.Y.) 70, 378 (1972) A. J. Hanson and T. Regge, ibid. 87, 498 (1974)
  6. F. Rohrlich, Phys. Rev. Lett. 34, 842 (1975) [1]

  7. Omitted endnote

  8. [1] [1]
  9. [1,2]
  10. P. Goddard, J. Goldstone, C. Rebbi, and C. Thorn, Nucl. Phys. B56, 109 (1973)
  11. S. Mandelstam, Nucl. Phys. B64, 205 (1973) ibid.B69, 77 (1974)
  12. [4] 't Hooft's [3]

Outline

Information

Phys. Rev. D 14, 2193– Published 15 October, 1976
  • Received 4 June 1976

© 1976 American Physical Society

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