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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 202, Number 2, Pages 207–242
DOI: https://doi.org/10.4213/tmf9753
(Mi tmf9753)
 

The quantum theory of the Lorentzian fermionic differential forms

A. Jourjine

FG Center for Theoretical Physics, Dresden, Germany
References:
Abstract: We consider the quantum theory of the Lorentzian fermionic differential forms and the corresponding bispinor quantum fields, which are expansion coefficients of the forms in the bispinor basis of Becher and Joos. We describe the canonical quantization procedure for the bispinor gauge theory in terms of its Dirac spinor constituents in detail and derive the corresponding Feynman rules and also all possible mass terms for massive fermions in the bispinor gauge theory. We classify the solutions by a scalar spin quantum number, a number with no analogue in the standard gauge theory and in the Standard Model. The possible mass terms correspond to combinations of scalar spin-zero singlets and scalar spin-$1/2$ doublets in the generation space. We describe the connection between the Lorentz spin of bispinors and the scalar spin of bispinor constituents.
Keywords: quantum field theory, bispinor gauge theory, perturbation theory, Feynman rules.
Received: 19.05.2019
Revised: 26.07.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 202, Issue 2, Pages 183–213
DOI: https://doi.org/10.1134/S004057792002004X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Jourjine, “The quantum theory of the Lorentzian fermionic differential forms”, TMF, 202:2 (2020), 207–242; Theoret. and Math. Phys., 202:2 (2020), 183–213
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v202/i2/p207
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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