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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 200, Number 1, Pages 118–136
DOI: https://doi.org/10.4213/tmf9650
(Mi tmf9650)
 

This article is cited in 8 scientific papers (total in 8 papers)

Generalization of Dirac conjugation in the superalgebraic theory of spinors

V. V. Monakhov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (441 kB) Citations (8)
References:
Abstract: In the superalgebraic representation of spinors using Grassmann densities and the corresponding derivatives, we introduce a generalization of Dirac conjugation, and this generalization yields Lorentz-covariant transformations of conjugate spinors. The signature of the generalized gamma matrices, the number of them, and the decomposition of second quantization with respect to momenta are given by a variant of the generalized Dirac conjugation and by the requirement that the algebra of canonical anticommutation relations should be preserved under transformations of spinors and conjugate spinors.
Keywords: second quantization, CAR algebra, Clifford algebra, Dirac matrix, spinor, Dirac conjugation, Lorentz transformation, Lorentz covariance, causality, charge operator.
Received: 29.10.2018
Revised: 20.12.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 200, Issue 1, Pages 1026–1042
DOI: https://doi.org/10.1134/S0040577919070079
Bibliographic databases:
Document Type: Article
PACS: 03.70.+k, 11.10.Kk, 11.30.Cp
MSC: 15A66
Language: Russian
Citation: V. V. Monakhov, “Generalization of Dirac conjugation in the superalgebraic theory of spinors”, TMF, 200:1 (2019), 118–136; Theoret. and Math. Phys., 200:1 (2019), 1026–1042
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9650
  • https://www.mathnet.ru/eng/tmf/v200/i1/p118
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:558
    Full-text PDF :64
    References:47
    First page:8
     
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