Summary
The motion of singularities in the classical Yang-Mills field is derived from the field equations of general relativity. It is pointed out that in Yang-Mills field by itself does not determine the motion of its sources in spite of its being a nonlinear theory.
Riassunto
Si deriva il moto di singolarità nel campo classico di Yang-Mills dalle equazioni di campo della relatività generale. Si mette in evidenza che il campo di Yang-Mills per se stesso non determina il movimento delle sue sorgenti nonostante esso sia una teoria non lineare.
Резюме
Из полевых уравнений общей теории относительности выводится движение сингулярностей в классическом поле Янга-Миллса. Отмечается, что поле Янга-Миллса само по себе не определяет движение своих источников, в противоположность нелинейной теории.
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References
J. L. Ging:Am. J. Phys.,34, 63 (1966).
See, however, the remarks in this section concerning the monopole character of the field near the singularity.
The comma si used to denote partial derivatives. γ denotes the coupling constant. Boldface symbols are 3-vectors in spinor space.
S. K. Wong:Nuovo Cimento A,65, 689 (1970).
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Ging, J.L. Co-ordinate covariance and the motion of isotopic-spin sources in gauge theories. Nuov Cim B 53, 284–290 (1979). https://doi.org/10.1007/BF02739894
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DOI: https://doi.org/10.1007/BF02739894