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Inconsistency of canonical commutation relations among current densities

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Il Nuovo Cimento A (1965-1970)

Summary

Ordinary commutation relations among current densities have been shown to lead to inconsistency without assuming the conservation law of currents. Also it is demonstrated that the ordinary PS-PV meson theory and also the σ-model will give rise to similar inconsistencies in general.

Riassunto

Si è dimostrato che le ordinarie relazioni di commutazione tra densità di, correnti portano ad incongruenze se non si adotta la legge di conservazione delle correnti. Si dimostra pure che l'ordinaria teoria del mesone PS-PV ed anche il modello σ daranno origine in generale a simili incongruenze.

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References

  1. A. Adler:Phys. Rev. Lett.,14, 1051 (1965);W. I. Weisberger:Phys. Rev. Lett.,14, 1047 (1965).

    Article  ADS  Google Scholar 

  2. S. Fubini, C. Rossetti andG. Furlan:Nuovo Cimento,43 A, 161 (1966).

    Article  ADS  Google Scholar 

  3. J. Schwinger:Phys. Rev. Lett.,3, 296 (1959);K. Johnson:Nucl. Phys.,25, 431 (1961).

    Article  ADS  Google Scholar 

  4. M. Gell-Mann andM. Lévy:Nuovo Cimento,16, 705 (1960).

    Article  Google Scholar 

  5. M. Gell-Mann:Phys. Rev.,125, 1067 (1962).

    Article  ADS  MathSciNet  Google Scholar 

  6. H. Lehmann:Nuovo Cimento,11, 342 (1954);G. Källén:Helv. Phys. Acta,23, 201 (1950).

    Article  MathSciNet  Google Scholar 

  7. Here we have followed the argument given byS. S. Schweber:An Introduction to Relativistic Quantum Field Theory (Evanston, Ill., 1961).

  8. P. Federbush andK. Johnson:Phys. Rev.,120, 1926 (1960).

    Article  ADS  MathSciNet  Google Scholar 

  9. S. Coleman:Phys. Lett.,19, 144 (1965). See alsoS. Okubo:Nuovo Cimento,42 A, 1029 (1966).

    Article  ADS  MathSciNet  Google Scholar 

  10. J. Schwinger; see ref. (3) and a recent preprint (1965).

    Article  ADS  Google Scholar 

  11. S. Okubo:Nuovo Cimento,19, 574 (1961).

    Article  MathSciNet  Google Scholar 

  12. G. Källén: {jtKgl. Danske Videnskab. Selskab, Mat-Fys. Medd.}, {vn21}, {snno. 12} ({dy1953}). For other references and criticisms on this paper, see a paper byK. Johnson:Ann. of Phys.,10, 536 (1960).

  13. W. S. Hellman andP. Roman:Phys. Lett.,13, 336 (1964) and also seeNuovo Cimento,37, 779 (1965).

    Article  ADS  MathSciNet  Google Scholar 

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Author notes

  1. S. Okubo (John Simon Guggenheim Fellow)

    Present address: University of Rochester, Rochester, N. Y.

Authors and Affiliations

  1. International Atomic Energy Agency, International Centre for Theoretical Physics, Trieste

    S. Okubo (John Simon Guggenheim Fellow)

Authors
  1. S. Okubo
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Traduzione a cura della Redazione.

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Okubo, S. Inconsistency of canonical commutation relations among current densities. Nuovo Cimento A (1965-1970) 44, 1015–1030 (1966). https://doi.org/10.1007/BF02719346

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  • DOI: https://doi.org/10.1007/BF02719346

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