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This article is cited in 2 scientific papers (total in 2 papers)
Restriction of the fermion mass spectrum in $PT$-symmetric systems and its implications for studying dark matter
V. N. Rodionova, A. M. Mandelb, G. A. Kravtsovac a Plekhanov Russian University of Economics, Moscow, Russia
b State University STANKIN, Moscow, Russia
c Lomonosov Moscow State University, Moscow, Russia
Abstract:
We formulate principal positions of a non-Hermitian model with a $\gamma_5$-extension of the fermion mass, which are often neglected in investigating this subject. A consistent approach to this problem requires the constraint $m\le M$, where $M$ bounds the entire fermion mass spectrum. An analogous approach was proposed in the geometric model, which can be regarded as the first $PT$-symmetric non-Hermitian fermion model with a $\gamma_5$-extension of mass. Exotic particles appear in both these theories. A detailed consideration of the properties of these particles allows conjecturing that they are possible candidates in the structure of dark matter. We also discuss a simple estimate for determining the maximum admissible value of the fermion mass $M$.
Keywords:
mass spectrum restriction, two zones of $PT$ symmetry, two-mass paradox, exotic particle.
Received: 11.03.2018 Revised: 07.05.2018
Citation:
V. N. Rodionov, A. M. Mandel, G. A. Kravtsova, “Restriction of the fermion mass spectrum in $PT$-symmetric systems and its implications for studying dark matter”, TMF, 198:3 (2019), 473–488; Theoret. and Math. Phys., 198:3 (2019), 412–424
Linking options:
https://www.mathnet.ru/eng/tmf9563https://doi.org/10.4213/tmf9563 https://www.mathnet.ru/eng/tmf/v198/i3/p473
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