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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 198, Number 3, Pages 473–488
DOI: https://doi.org/10.4213/tmf9563
(Mi tmf9563)
 

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
Full-text PDF (536 kB) Citations (2)
References:
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
English version:
Theoretical and Mathematical Physics, 2019, Volume 198, Issue 3, Pages 412–424
DOI: https://doi.org/10.1134/S0040577919030061
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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\pages 412--424
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  • https://www.mathnet.ru/eng/tmf9563
  • https://doi.org/10.4213/tmf9563
  • https://www.mathnet.ru/eng/tmf/v198/i3/p473
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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