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ε- and γ-formalisms in the calculus of 4-spinors

Published online by Cambridge University Press:  24 October 2008

H. A. Buchdahl
H. A. Buchdahl
Affiliation:
Department of Theoretical Physics, Faculty of Science, Australian National University, Canberra
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Abstract

The calculus of 4-spinors, covariant with respect to arbitrary transformations in a 6-dimensional Riemann space, was presented earlier in a formulation analogous to the so-called ε-formalism in the 2-spinor calculus. Like the latter it is burdened by the appearance of a multiplicity of fractional spin weights and anti-weights as well as the arbitrariness of the trace of the linear spinor connexion. This paper deals in detail with a variant of the calculus which is more akin to the so-called γ-formalism in the 2-spirior calculus; and which is finally extended to be both gauge-invariant and phase-invariant.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 1 , January 1970 , pp. 123 - 126
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Infeld, L. and Van Der Waerden, B. L.Sitzber. Preuss. Akad. Wiss. (1933), 380.Google Scholar
(2)Buchdahl, H. A.Quart. J. Math. Oxford Ser. 9 (1958), 109.Google Scholar
(3)Buchdahl, H. A.Proc. Roy. Soc. Ser. A 303 (1968), 355.Google Scholar