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Co-ordinate covariance and the motion of isotopic-spin sources in gauge theories

Координатная ковариантность и движение источников изотопического спина в калибровочных теориях

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Il Nuovo Cimento B (1971-1996)

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

  1. J. L. Ging:Am. J. Phys.,34, 63 (1966).

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  2. See, however, the remarks in this section concerning the monopole character of the field near the singularity.

  3. The comma si used to denote partial derivatives. γ denotes the coupling constant. Boldface symbols are 3-vectors in spinor space.

  4. 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

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