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
A. Z. Petrov, Einstein Spaces, Pergamon Press, New York, 1969.
J. L. Anderson, Principles of Relativity Physics, Academic Press, New York,1967.
M. A. Naimark, Linear Representations of the Lorentz Group, Pergamon Press, New York, 1964.
R. Penrose, A spinor approach to general relativity, Ann. Phys. (N.Y.) 10, 171 (1970).
M. Carmeli, Group Theory and General Relativity, McGraw-Hill, New York, 1977.
T. Eguchi, Classification of unquantized Yang-Mills fields, Phys.Rev. D13, 1561 (1976).
R. Roskies, Invariants and classification of Yang-Mills fields, Phys. Rev. D15, 1722 (1977).
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.
L.-L. Wang and C. N. Yang, Classification of SU(2) gauge fields, ITP-SB-78-1, to be published.
M. Carmeli, Monopole solution of Yang-Mills equations, Phys. Letters 68B, 463 (1977).
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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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