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Prog. Theor. Phys. Vol. 19 No. 3 (1958) pp. 221-237

[ Full Text PDF : FREE ACCESS (922K) ]

Quantum Electrodynamics with the Indefinite Metric

— Non-Lorentz-Invariance of the Gupta Formalism —

Sigenobu Sunakawa

Department of Physics, Osaka University, Osaka

(Received October 12, 1957)

Abstract:

Gupta's quantum electrodynamics was investigated in the several kind of representations, and it was shown that the Gupta metric operator for the free field can be used even in the case of the interacting fields. It was also shown that the Gupta theory is not invariant under the Lorentz transformation.


URL : http://ptp.ipap.jp/link?PTP/19/221/
DOI : 10.1143/PTP.19.221

[ Full Text PDF : FREE ACCESS (922K) ] Citation:

References:

  1. S. N. Gupta, Proc. Phys. Soc. 63 (1950), 681.
  2. K. Bleuler, Helv. Phys. Acta 23 (1950), 567.
  3. G. Källen, Helv. Phys. Acta 25 (1952), 417; Dan. mat. fys. Medd. 27 (1953), No. 12.
  4. M. Gell-Mann and F. E. Low, Phys. Rev. 95 (1954), 1300[APS].
  5. H. Lehmann, Nuovo Cimento 11 (1954), 342.
  6. C. N. Yang and D. Feldman, Phys. Rev. 79 (1950), 972[APS].
  7. G. Källen, Arkiv f. Physik, 2 (1950), 371.
  8. S. Schweber, Nuovo Cimento 2 (1955), 397.
  9. F. J. Belinfante, Phys. Rev. 96 (1954), 780[APS].
  10. S. Sunakawa, Prog. Theor. Phys. 14 (1955), 175[PTP].
  11. S. N. Gupta, Proc. Phys. Soc. 64 (1951), 850.
  12. L. Rosenfeld, Ann. Physik 5 (1930), 113.
  13. W. Pauli, Rev. Mod. Phys. 13 (1941), 203[APS].
  14. R. Utiyama, Prog. Theor. Phys. 5 (1950), 437[PTP]; ibid. 6 (1951), 65[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 20 No. 6 (1958) pp. 868-875 :
    Quantum Theory in Pseudo-Hilbert Space
    Gaku Konisi and Takesi Ogimoto
  2. Progress of Theoretical Physics Vol. 21 No. 4 (1959) pp. 581-584 :
    Lorentz Covariance of Quantum Electrodynamics with the Indefinite Metric
    Suraj N. Gupta
  3. Progress of Theoretical Physics Vol. 21 No. 5 (1959) pp. 727-730 :
    Quantum Theory in Pseudo-Hilbert Space. II
    Gaku Konisi and Takesi Ogimoto
  4. Progress of Theoretical Physics Vol. 26 No. 1 (1961) pp. 131-147 :
    On a Convergent Model of Quantum Field Theory with Indefinite Metric
    Kan-ichi Yokoyama
  5. Progress of Theoretical Physics Supplement No.51 (1972) pp. 1-95 :
    Indefinite-Metric Quantum Field Theory
    Noboru Nakanishi

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