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Classification of classical yang-mills fields

Chapter I. Gauge Theories

Part of the Lecture Notes in Mathematics book series (LNM,volume 676)

Abstract

Classification of classical SU(2) gauge fields is described. Invariants of the fields are isolated and expressed in terms of gauge fields spinors. A review is given to the classification of the electromagnetic and gravitational fields and their invariants. Comparison between the three fields is made.

Work supported in part by the National Science Foundation under Grant No. PHY-76-15328.

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References

  1. A. Z. Petrov, Einstein Spaces, Pergamon Press, New York, 1969.

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  8. M. Carmeli, Classification of Yang-Mills fields, Phys. Rev. Letters 39, 523 (1977). The number of classes of fields mentioned in this reference was twelve, rather than ten; the zero field was counted twice and it follows that the two classes of fields Ds and IIs can actually be identified. I am grateful to J. Anandan and M. Kugler for pointing out this identification to me.

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© 1978 Springer-Verlag

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Carmeli, M. (1978). Classification of classical yang-mills fields. In: Bleuler, K., Reetz, A., Petry, H.R. (eds) Differential Geometrical Methods in Mathematical Physics II. Lecture Notes in Mathematics, vol 676. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063667

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  • DOI: https://doi.org/10.1007/BFb0063667

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08935-3

  • Online ISBN: 978-3-540-35721-6

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