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Prog. Theor. Phys. Vol. 38 No. 4 (1967) pp. 871-880

[ Full Text PDF : FREE ACCESS (489K) ]

The Canonical Quantization of the Free Electromagnetic Field in the Landau Gauge

Tetsuo Gotō and Takashi Obara

Department of Physics and Atomic Energy Research Institute, Nihon University, Tokyo

(Received June 2, 1967)

Abstract:

The canonical formalism of the electromagnetic field in the Landau gauge is studied. Unlike the case of Nakanishi, the dipole ghost states are not introduced. The singular character of the longitudinal and scalar components are pointed out, and the difficulty originated from the unnormalizable norm of the state vectors are evaded by an appropriate limiting procedure. The interacting case is also discussed in the interaction representation.


URL : http://ptp.ipap.jp/link?PTP/38/871/
DOI : 10.1143/PTP.38.871

[ Full Text PDF : FREE ACCESS (489K) ] Citation:

References:

  1. E. Fermi, Rev. Mod. Phys. 4 (1932), 131[APS].
  2. L. D. Landau and I. M. Khalatnikov, Sov. Phys. JETP 2 (1956), 69.
    L. D. Landau, A. A. Abrikosov and I. M. Khalatnikov, Dokl. Akad. Nauk. SSSR 95 (1954), 773.
  3. K. Johnson, M. Baker and R. S. Willey, Phys. Rev. Lett. 11 (1963), 518[APS].
    Th. A. Maris, V. E. Herscovitz and G. Jacob, Phys. Rev. Lett. 12 (1964), 313[APS].
  4. K. Just, Nuovo Cim. 38 (1965), 400.
  5. N. Nakanishi, Prog. Theor. Phys. 35 (1966), 1111[PTP].
  6. S. N. Gupta, Proc. Phys. Soc. 63 (1950), 681.
    K. Bleuler, Helv. Phys. Acta 23 (1950), 567.
  7. R. Utiyama, Prog. Theor. Phys. Suppl. No. 9 (1959), 1[PTP].
  8. A. Pais and G. E. Uhlenbeck, Phys. Rev. 79 (1950), 145[APS].
  9. See, for instance, K. L. Nagy, Nuovo Cim. Suppl. 17 (1960), 92.
  10. R. Utiyama, T. Imamura, S. Sunakawa and T. Dodo, Prog. Theor. Phys. 6 (1950), 149[PTP].
  11. J. Schwinger, Phys. Rev. 74 (1948), 1439[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 40 No. 1 (1968) pp. 160-166 :
    Photon Propagarors in Quantum Electrodynamics
    Kan-ichi Yokoyama
  2. Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1956-1970 :
    Canonical Quantum Electrodynamics with Invariant One-Parameter Gauge Families
    Kan-ichi Yokoyama
  3. Progress of Theoretical Physics Vol. 58 No. 5 (1977) pp. 1555-1566 :
    Can the Coulomb and Landau Gauges Be Interpolated?
    Gregory Harris and Emil Kazes
  4. Progress of Theoretical Physics Supplement No.51 (1972) pp. 1-95 :
    Indefinite-Metric Quantum Field Theory
    Noboru Nakanishi

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