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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 186, Number 1, Pages 87–100
DOI: https://doi.org/10.4213/tmf8979 (Mi tmf8979) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Superalgebraic representation of Dirac matrices

V. V. Monakhov

Saint Petersburg State University, Saint Petersburg, Russia
Full-text PDF (350 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf8979
Abstract: We consider a Clifford extension of the Grassmann algebra in which operators are constructed from products of Grassmann variables and derivatives with respect to them. We show that this algebra contains a subalgebra isomorphic to a matrix algebra and that it additionally contains operators of a generalized matrix algebra that mix states with different numbers of Grassmann variables. We show that these operators are extensions of spin-tensors to the case of superspace. We construct a representation of Dirac matrices in the form of operators of a generalized matrix algebra.
Keywords: Grassmann algebra, Clifford algebra, quantum field theory, generalized matrix algebra, Dirac matrix, spinor, superspace, supersymmetry.
English version:
Theoretical and Mathematical Physics, 2016, Volume 186, Issue 1, Pages 70–82
DOI: https://doi.org/10.1134/S0040577916010062
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Monakhov, “Superalgebraic representation of Dirac matrices”, TMF, 186:1 (2016), 87–100; Theoret. and Math. Phys., 186:1 (2016), 70–82
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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