Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-24T13:42:25.803Z Has data issue: false hasContentIssue false
  • English
  • Français

Gauge invariance of the Dirac equation

Published online by Cambridge University Press:  09 April 2009

P. Smrz
P. Smrz
Affiliation:
University of NewcastleNew South Wales, Australia
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The Dirac equation in its most usual form can be derived by the minimum action principle from the Lagrangian density where γk (k =1,2,3,4) are the Dirac 4 × 4 matrices satisfying relations; ψ(x) is a column matrix with 4 complex elements being functions of x1, x2, x3, x4, coordinates of the pseudo-Euclidean space with metric gik.(

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 1 , February 1973 , pp. 117 - 122
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Smrz, P., ‘Philosophy of a Space Generalization and the Problem of Spinors in General Relativity’, II Nuovo Cim. 65B (1970), 147–157.CrossRefGoogle Scholar
[2]Utiyama, R., ‘Invariant Theoretical Interpretation of Interaction’, Phys. Rev. 101 (1956), 1597–1607.CrossRefGoogle Scholar
[3]Kibble, T.W.B., ‘Lorentz Invariance and the Gravitational Field’, J. Math. Phys. 2 (1961), 212–221.CrossRefGoogle Scholar
[4]Schweber, S.S., An Introduction to Relativistic Quantum Field Theory (Row, Peterson&Co., 1961), page 272.Google Scholar
[5]Eddington, A.S., The Mathematical Theory of Relativity (Cambridge Univ. Press, 1957). page 100.Google Scholar