Enviar artigo por via de e-mail Dirac matrices as elements of a superalgebraic matrix algebra
- Autores: Monakhov V.V.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 80, Nº 8 (2016)
- Páginas: 985-988
- Seção: Proceedings of the LXV International Conference “Nucleus 2015. New Horizons in Nuclear Physics, Nuclear Engineering, Femto- and Nanotechnologies” (LXV International Meeting on Nuclear Spectroscopy and Nuclear Structure) (St. Petersburg, June–July 201
- URL: https://journals.rcsi.science/1062-8738/article/view/184789
- DOI: https://doi.org/10.3103/S1062873816080323
- ID: 184789
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Resumo
A Clifford extension of the Grassmann algebra is considered in which operators are built from products of Grassmann variables and derivatives with respect to them. It is shown that a subalgebra of operators, isomorphic to the usual matrix algebra, can be separated in this algebra, while the algebra itself is a generalization of the matrix algebra, contains superalgebraic operators expanding the matrix algebra, and produces transformations of supersymmetry.
Sobre autores
V. Monakhov
St. Petersburg State University
Autor responsável pela correspondência
Email: v.v.monahov@spbu.ru
Rússia, St. Petersburg, 198504
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