Email this article CLASSIFICATION OF FIELD EQUATIONS FOR WEYL SPINORS AND ELKO SPINORS
- Authors: Marchuk N.G.1,2
-
Affiliations:
- Steklov Mathematical Institute of RAS
- National Research University Higher School of Economics
- Issue: Vol 61, No 3 (2025)
- Pages: 366–373
- Section: PARTIAL DERIVATIVE EQUATIONS
- URL: https://ogarev-online.ru/0374-0641/article/view/299143
- DOI: https://doi.org/10.31857/S0374064125030069
- EDN: https://elibrary.ru/HMINRD
- ID: 299143
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Abstract
A class of field (relativistically invariant) equations is introduced for a wave function consisting of several Weyl spinors. The equations are such that each of these Weyl spinors satisfies the Klein–Gordon equation with the same mass. Subclasses of equations of Majorana type and Dirac-type are introduced. It is shown that the known equations for Elko spinors belong to the subclass of Dirac-type equations.
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About the authors
N. G. Marchuk
Steklov Mathematical Institute of RAS; National Research University Higher School of Economics
Email: nmarchuk@mi-ras.ru
Moscow, Russia; Moscow, Russia
References
- . Марчук, Н.Г. Об одном классе релятивистски инвариантных уравнений первого порядка / Н.Г. Марчук // Дифференц. уравнения. — 2020. — Т. 56, № 12. — С. 1621–1633.
- Марчук, Н.Г. Класс полевых уравнений для нейтрино с ненулевой массой / Н.Г. Марчук // Теор. и мат. физика. — 2024. — Т. 219, № 3. — С. 422–439.
- Ahluwalia, D.V. Spin half fermions with mass dimension one: theory, phenomenology, and dark matter / D.V. Ahluwalia, D. Grumiller // J. Cosmol. Astropart. Phys. — 2005. — № 7. — Art. 012.
- Moore, E.H. On the reciprocal of the general algebraic matrix / E.H. Moore // Bull. Amer. Math. Soc. — 1920. — V. 26. — P. 394–395.
- Penrose, R. A generalized inverse for matrices / R. Penrose // Proc. Cambridge Philosoph. Soc. — 1955. — V. 51. — P. 406–413.
- Ahluwalia, D.V. Dark matter: a spin one half fermion field with mass dimension one? / D.V. Ahluwalia, D. Grumiller // Phys. Rev. D. — 2005. — V. 72, № 6. — Art. 067701.
- Mass dimension one fermions: constructing darkness / D.V. Ahluwalia, J.M.H. da Silva, C.Y. Lee, [et al.] // Phys. Rept. — 2022. — V. 967. — P. 1–43.
- Romero, R. Elko spinors revised / R. Romero // Revista Mexicana de F´ısica. — 2023. — V. 69, № 2. — Art. 020201.
- Nikitin, A.G. Non-standard Dirac equations for non-standard spinors / A.G. Nikitin // Int. J. Modern Phys. D. — 2014. — V. 23, № 14. — Art. 1444007.
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