https://doi.org/10.1140/epjc/s10052-021-09592-w
Regular Article - Theoretical Physics
On the calculation of covariant expressions for Dirac bilinears
1
Department of Electrical and Electronics Engineering, University of Turkish Aeronautical Association, Ankara, Turkey
2
Department of Physics, Middle East Technical University, Ankara, Turkey
Received:
7
July
2021
Accepted:
28
August
2021
Published online:
8
September
2021
In this article, various approaches to calculate covariant expressions for the bilinears of Dirac spinors are presented. For this purpose, algebraic equations defining Dirac spinors are discussed. Following that, a covariant approach for spacetime parameterization is presented and the equations defining Dirac spinors are written fully in terms of Lorentz scalars. After presenting how the tensorial bilinears can be reduced to combinations of scalar bilinears with appropriate Lorentz structures, a covariant recipe for the calculation of scalar bilinears is provided.
© The Author(s) 2021
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