Summary
The Weyl-Dirac theory is extended to involve the complex Dirac field β. The conservation equations of such a theory are obtained by using a co-covariant generalization of Rosenfeld's variational method. The electromagnetic current associated with the Dirac field is nonzero in general, and is highly nonlinear in the electromagnetic potential. Its form is reminiscent of the current of superconductors.
Riassunto
Si estende la teoria di Weyl e Dirac a comprendere il campo di Dirac complesso β. Le equazioni di conservazione di una tale teoria sono ottenute usando una generalizzazione cocovariante del metodo variazionale di Rosenfeld. La corrente elettromagnetica associata col campo di Dirac è diversa da zero, in generale, ed è fortemente non lineare nel potenziale electromagnetico. La sua forma ricorda la corrente nei superconduttori.
Резюме
Обобщается теория Вейля-Дирака с целью включения комплексного поля Дирака β. Получаются уравнения сохранения в такой теории, используя ковариантное обобщение вариационного метода Розенфельда. В общем случае электромагнитный ток, связанный с полем Дирака, не равен нилю.
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References
D. Gregorash andG. Papini:Il Nuovo Cimento B,55, 37 (1980).
See, for example,F. W. Hehl:Gen. Rel. Grav.,4, 333 (1973).
F. L. Belinfante:Physica (The Hague),6, 887 (1939).
L. Rosenfeld:Mem. Acad. R. Belg. Sci.,18, 4 (1940).
H. B. Nielsen andP. Olesen:Nucl. Phys. B,61, 45 (1973).
The terminology used is that ofP. A. M. Dirac:Proc. R. Soc. London Ser. A,333, 403 (1973).
J. L. Anderson:Principles of Relativity Physics (New York, N. Y., 1967), p. 39.
J. L. Pietenpol, R. Incoul andD. Speiser:Phys. Rev. Lett.,33, 387 (1974).
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Research supported in part by the Natural Sciences and Engineering Research Council of Canada.
Traduzione a cura della Redazione.
Перевебено ребакцией.
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Gregorash, D., Papini, G. Weyl-Dirac theory with torsion. Nuov Cim B 56, 21–38 (1980). https://doi.org/10.1007/BF02738356
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DOI: https://doi.org/10.1007/BF02738356