https://doi.org/10.1140/epjc/s10052-025-14003-5
Regular Article - Theoretical Physics
Mass dimension one fermions in FLRW space-time
1
Center for Theoretical Physics, College of Physics, Sichuan University, 610064, Chengdu, People’s Republic of China
2
University of Chinese Academy of Sciences, 100190, Beijing, People’s Republic of China
3
School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, 310024, Hangzhou, People’s Republic of China
4
The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, People’s Republic of China
5
The HKUST Jockey Club Institute for Advanced Study, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, People’s Republic of China
6
Department of Physics and Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University, 401331, Chongqing, People’s Republic of China
Received:
9
August
2024
Accepted:
24
February
2025
Published online:
11
March
2025
Elko is a massive spin-half field of mass dimension one. Elko differs from the Dirac and Majorana fermions because it furnishes the irreducible representation of the extended Poincaré group with a two-fold Wigner degeneracy where the particle and anti-particle states both have four degrees of freedom. Elko has a renormalizable quartic self interaction which makes it a candidate for self-interacting dark matter. We study Elko in the spatially flat FLRW space-time and find exact solutions in the de Sitter space. Furthermore, we study its quantization under de Sitter space evolution. By choosing the appropriate solutions and phases, the fields satisfy the canonical anti-commutation relations and have the correct time evolutions in the flat space limit.
© The Author(s) 2025
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