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Weyl connection, non-Abelian gauge field, and torsion

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Abstract

It is shown that the congruent transport introduced by Weyl in 1921 determines a non-Abelian gauge field. The simplest gaugeinvariant equations of this field are proposed. Its connection with torsion is discussed.

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References

  1. H. Weyl,Sitzungsber. Berl. Acad., 465 (1918).

  2. S. W. Hawking and G. F. R. Ellis,The Large-Scale Structure of Spacetime, Cambridge University Press, Cambridge (1973).

    Google Scholar 

  3. H. Weyl,Space—Time—Matter, Dover Publications: INC (1922).

  4. J. Schouten,Ricci-Calculus, Berlin (1954).

  5. A. A. Slavnov and L. D. Faddeev,Gauge Fields, Introduction to Quantum Theory (Frontiers in Physics, Vol. 50), Reading, Mass. (1980).

    Google Scholar 

  6. B. M. Barbashov, A. A. Leonovoch, and A. B. Pestov,Yad. Fiz.,38, No. I(7) (1983).

  7. F. W. Hehl, von der Heyde, G. D. Kerlick, and J. M. Nester,Rev. Mod. Phys.,48, 393 (1976).

    Google Scholar 

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna

    B. M. Barbashov & A. B. Pestov

  2. N. N. Bogolyubov Laboratory of Theoretical Physics, USSR

    B. M. Barbashov & A. B. Pestov

Authors
  1. B. M. Barbashov
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  2. A. B. Pestov
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Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 104, No. 3, pp. 429–434, September, 1995.

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Barbashov, B.M., Pestov, A.B. Weyl connection, non-Abelian gauge field, and torsion. Theor Math Phys 104, 1104–1107 (1995). https://doi.org/10.1007/BF02068742

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  • DOI: https://doi.org/10.1007/BF02068742

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