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1996 | 37 | 1 | 289-293
Tytuł artykułu

Charge conjugation and Maiorana spinors in dimension 8

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EN
Abstrakty
EN
It is a common belief among theoretical physicists that the charge conjugation of the Dirac equation has an analogy in higher dimensional space-times so that in an 8-dimensional space-time there would also be Maiorana spinors as eigenspinors of a charge conjugation, which would swap the sign of the electric charge of the Dirac equation. This article shows that this mistaken belief is based on inadequate distinction between two kinds of charge conjugation: the electric conjugation swapping the sign of the Dirac equation and the Maiorana conjugation fixing the real subalgebra (of the complexification of the Clifford algebra of the space-time). Only the latter conjugation has Maiorana spinors as its eigenspinors.
Słowa kluczowe
Rocznik
Tom
37
Numer
1
Strony
289-293
Opis fizyczny
Daty
wydano
1996
Twórcy
  • Institute of Mathematics, Helsinki University of Technology, SF-02150 Espoo, Finland
Bibliografia
  • [1] M. Benn and R. W. Tucker, An Introduction to Spinors and Geometry with Applications in Physics, Adam Hilger, Bristol 1987.
  • [2] P. Budinich and A. Trautman, The Spinorial Chessboard, Berlin 1988.
  • [3] A. Crumeyrolle, Orthogonal and Symplectic Clifford Algebras, Spinor Structures, Kluwer Academic, Dordrecht 1990.
  • [4] R. Delanghe, F. Sommen, and V. Souček, Clifford Algebra and Spinor Valued Functions: A function theory for the Dirac operator, Kluwer Academic, Dordrecht 1992.
  • [5] F. R. Harvey, Spinors and Calibrations, Academic Press, San Diego 1990.
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-bcpv37i1p289bwm
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