On the calculation of covariant expressions for Dirac bilinears

Date

2021-09-01

Author

Olpak, M. A.
Özpineci, Altuğ

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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.

URI

https://hdl.handle.net/11511/92267

Journal

EUROPEAN PHYSICAL JOURNAL C

DOI

https://doi.org/10.1140/epjc/s10052-021-09592-w

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Department of Physics, Article

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Citation Formats

M. A. Olpak and A. Özpineci, “On the calculation of covariant expressions for Dirac bilinears,” EUROPEAN PHYSICAL JOURNAL C, vol. 81, no. 9, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/92267.