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VOL. 22 | 2021 Algebra of Superalgebraic Spinors as Algebra of Second Quantization of Fermions
Vadim Monakhov, Alexey Kozhedub

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Geom. Integrability & Quantization, 2021: 165-187 (2021) DOI: 10.7546/giq-22-2021-165-187

Abstract

We developed the theory of superalgebraic spinors, which is based on the use of Grassmann densities and derivatives with respect to them in a pseudo- continuous space of momenta. The algebra that they form corresponds to the algebra of second quantization of fermions. We have con-structed a vacuum state vector and have shown that it is symmetric with respect to $P$, $CT$ and $CP T$ transformations. Operators $C$ and $T$ transforms the vacuum into an alternative one. Therefore, time inversion $T$ and charge conjugation $C$ cannot be exact symmetries of the spinors.

Information

Published: 1 January 2021
First available in Project Euclid: 2 June 2021

Digital Object Identifier: 10.7546/giq-22-2021-165-187

Rights: Copyright © 2021 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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