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arXiv · 1604.08111

Dirac matrices as elements of superalgebraic matrix algebra

V. V. Monakhov
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Abstract

The paper considers a Clifford extension of the Grassmann algebra, in which operators are built from Grassmann variables and by the derivatives with respect to them. It is shown that a subalgebra which is isomorphic to the usual matrix algebra exists in this algebra, the Clifford exten-sion of the Grassmann algebra is a generalization of the matrix algebra and contains superalgebraic operators expanding matrix algebra and produces supersymmetric transformations.

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BibTeXRIS

V. V. Monakhov. 2016-04-17. Dirac matrices as elements of superalgebraic matrix algebra. https://doi.org/10.3103/s1062873816080323

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