Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-29T18:57:14.176Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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