Geodesic
Generalization of Dirac conjugation in the~superalgebraic theory of spinors
Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 1, pp. 118-136

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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.
Mots-clés : second quantization, Dirac matrix, Dirac conjugation, Lorentz transformation
Keywords: CAR algebra, Clifford algebra, spinor, Lorentz covariance, causality, charge operator. 
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     author = {V. V. Monakhov},
     title = {Generalization of {Dirac} conjugation in the~superalgebraic theory of spinors},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_200_1_a6/}
}
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V. V. Monakhov. Generalization of Dirac conjugation in the~superalgebraic theory of spinors. Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 1, pp. 118-136. http://geodesic.mathdoc.fr/item/TMF_2019_200_1_a6/