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Prog. Theor. Phys. Vol. 85 No. 6 (1991) pp. 1347-1361

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Commutators in Supersymmetric CPn-12 Model

Masayoshi Nakamura and Hiroaki Minowa*

Department of Physics, Tokoha-Gakuen Hamamatsu University, Hamamatsu 431-21
*Department of Physics, Numazu National College of Technology, Numazu 410

(Received August 29, 1990)

Abstract:

The supersymmetric extension of CPn-12 model is investigated under the several gauge-fixing conditions by using the projection-operator-method of constrained dynamics. it is shown that, when the gauge-freedom is fixed, the commutation relations among the field operators contain certain quantum corrections, which can never be obtained by the quantization with the Dirac bracket. The physical interpretation for the difference between these two approaches to the quantization of constrained systems is given.


URL : http://ptp.ipap.jp/link?PTP/85/1347/
DOI : 10.1143/PTP.85.1347

[ Full Text PDF : FREE ACCESS (643K) ] Citation:


References:

  1. A. C. Davis, M. D. Freeman and A. J. Macfarlane, Nucl. Phys. B256 (1988), 299.
    M. B. Green, J. H. Schwarz and E. Witten, Superstring Theory (Cambridge University Press, Cambridge, 1987), vol. 1, p. 439.
  2. A. M. Polyakov, Mod. Phys. Lett. A3 (1988), 325.
    P. B. Wiegmann, Phys. Rev. Lett. 60 (1988), 821[APS].
    I. Dzyaloshinskii, A. Polyakov and P. Wiegmann, Phys. Lett. A127 (1988), 112.
  3. P. A. M. Dirac, Lectures on Quantum Mechanics (Belfer Graduate School of Science, Yeshiva University, New York, 1969), p. 1.
  4. J. Maharana, Phys. Lett. 128B (1983), 411.
  5. E. Gozzi and A. Guha, J. Math. Phys. 24 (1983), 1213[CrossRef].
  6. S. Rouhani, Nucl. Phys. B169 (1980), 430.
  7. J. Maharana, Ann. Inst. Henri Poincaré 45 (1986), 231.
  8. A. C. Davis, A. J. Macfarlane and J. W. Holten, Nucl. Phys. B232 (1984), 473.
  9. G. V. Dunne, R. Jackiw and C. A. Trugenberger, Ann. of Phys. 194 (1989), 197[CrossRef].
  10. E. Witten, Commun. Math. Phys. 121 (1989), 351[CrossRef].
    S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. B326 (1989), 108.
  11. T. Maskawa and H. Nakajima, Prog. Theor. Phys. 56 (1976), 1295[PTP].
    R. Utiyama, Theory of Relativity (Syôkabô, Tokyo, 1978), p. 389.
  12. M. Nakamura and N. Mishima, Nuovo Cim. 79B (1984), 33; Prog. Theor. Phys. 81 (1989), 451[PTP].
  13. M. Nakamura, Nuovo Cim. 85A (1985), 337.
    M. Nakamura, H. Minowa and N. Mishima, Nuovo Cim. 98A (1987), 73; Prog. Theor. Phys. 79 (1988), 321[PTP].
  14. T. Matsuyama, Phys. Lett. B228 (1989), 99; Prog. Theor. Phys. 84 (1990), 1220[PTP].
  15. L. Huetra and M. Ruiz-Altaba, Phys. Lett. B216 (1989), 371.
    N. E. Mavromatos and M. Ruiz-Altaba, Preprint CERN-TH. 5443/89.
  16. R. Casalbouni, Nuovo Cim. 33A (1976), 115.
    Y. Nakano, Prog. Theor. Phys. 63 (1980), 599[PTP].
  17. G. W. Semenoff, Phys. Rev. Lett. 61 (1988), 517[APS].