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
A. Adler:Phys. Rev. Lett.,14, 1051 (1965);W. I. Weisberger:Phys. Rev. Lett.,14, 1047 (1965).
S. Fubini, C. Rossetti andG. Furlan:Nuovo Cimento,43 A, 161 (1966).
J. Schwinger:Phys. Rev. Lett.,3, 296 (1959);K. Johnson:Nucl. Phys.,25, 431 (1961).
M. Gell-Mann andM. Lévy:Nuovo Cimento,16, 705 (1960).
M. Gell-Mann:Phys. Rev.,125, 1067 (1962).
H. Lehmann:Nuovo Cimento,11, 342 (1954);G. Källén:Helv. Phys. Acta,23, 201 (1950).
Here we have followed the argument given byS. S. Schweber:An Introduction to Relativistic Quantum Field Theory (Evanston, Ill., 1961).
P. Federbush andK. Johnson:Phys. Rev.,120, 1926 (1960).
S. Coleman:Phys. Lett.,19, 144 (1965). See alsoS. Okubo:Nuovo Cimento,42 A, 1029 (1966).
J. Schwinger; see ref. (3) and a recent preprint (1965).
S. Okubo:Nuovo Cimento,19, 574 (1961).
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).
W. S. Hellman andP. Roman:Phys. Lett.,13, 336 (1964) and also seeNuovo Cimento,37, 779 (1965).
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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