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Prog. Theor. Phys. Vol. 43 No. 5 (1970) pp. 1386-1400

[ Full Text PDF : FREE ACCESS (779K) ]

Hyperquantization of the Electromagnetic and Spin 1/2 Fields

K. Dormuth and Y. Takahashi

Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Canada

(Received December 15, 1969)

Abstract:

The formalism of hyperquantization is applied to the quantum electrodynamics of a spin 1/2 field. The result is a gauge invariant theory containing an operator S whose matrix elements agree with those of the conventional S-matrix, but in which the use of the indefinite metric can be avoided. Dyson's equations and the generalized Ward identity are derived within this formalism.


URL : http://ptp.ipap.jp/link?PTP/43/1386/
DOI : 10.1143/PTP.43.1386

[ Full Text PDF : FREE ACCESS (779K) ] Citation:

References:

  1. Y. Takahashi, An Introduction to Field Quantization (Pergamon Press, Oxford, 1969).
  2. K. Johnson and E. C. G. Sudarshan, Ann. of Phys. 13 (1961), 126[CrossRef].
  3. C. Hayashi, Prog. Theor. Phys. 11 (1954), 226[PTP].
  4. E. Arnous, W. Heitler and Y. Takahashi, Nuovo Cim. 16 (1960), 671.
  5. Y. Takahashi, Phys. Rev. 166 (1968), 1645[APS].
    This paper will be referred to as I.
  6. Y. Takahashi and R. Gourishankar, Nucl. Phys. B 12 (1969), 301[CrossRef].
    This paper will be referred to as II.
  7. O. Klein, Niels Bohr and the Development of Physics (McGraw-Hill, New York, 1955).
  8. F. Coester, Phys. Rev. 95 (1954), 1318[APS].
    See also J. M. Jauch, Helv. Phys. Acta 29 (1956), 287.
  9. H. Shimodaira, Nucl. Phys. 17 (1960), 486[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 44 No. 4 (1970) pp. 1077-1089 :
    Electromagnetic Interaction of a Spin 3/2 Field
    Kenneth Dormuth and Yasushi Takahashi
  2. Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 2125-2132 :
    Super-Quantization. I
    Susumu Okubo
  3. Progress of Theoretical Physics Vol. 56 No. 5 (1976) pp. 1625-1636 :
    Hyperquantization of Multi-Mass Fields
    Hira Lall Baisya
  4. Progress of Theoretical Physics Vol. 57 No. 4 (1977) pp. 1426-1434 :
    Hyperquantization of the Multi-Mass Vector-Spinor Field
    Hira Lall Baisya

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