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There are no scalar Lie fields in three or more dimensional space-time. (English) Zbl 0318.53032


MSC:

53B99 Local differential geometry
53A55 Differential invariants (local theory), geometric objects
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References:

[1] Greenberg, O. W.: Ann. Phys.16, 158 (1961) · Zbl 0099.23103
[2] Łopuszański, J. T.: Phys. Lett.8, 85 (1964)
[3] Wightman, A. S.: 1964 Cargèse Lectures in Theoretical Physics (ed. M. Lévy), pp. 191–196. New York: Gordon and Breach 1967
[4] Robinson, D. W.: Phys. Lett.9, 189 (1964)
[5] Lowenstein, J. H.: Commun. math. Phys.6, 49 (1967) · Zbl 0166.23504
[6] Greenberg, O. W.: Commun. math. Phys.9, 13 (1968) · Zbl 0162.28804
[7] Streater, R. F., Wightman, A. S.: PCT, Spin and Statistics and All That. New York: Benjamin 1964 1964 · Zbl 0135.44305
[8] Jost, R.: The General Theory of Quantized Fields. Providence: AMS 1965 · Zbl 0127.19105
[9] Greenberg, O. W.: J. Math. Phys.3, 859 (1962)
[10] Robinson, D. W.: Helv. Phys. Acta35, 403 (1962)
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