Restriction of the~fermion mass spectrum in $PT$-symmetric systems and its implications for studying dark matter
Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 3, pp. 473-488
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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.
@article{TMF_2019_198_3_a5,
author = {V. N. Rodionov and A. M. Mandel and G. A. Kravtsova},
title = {Restriction of the~fermion mass spectrum in $PT$-symmetric systems and its implications for studying dark matter},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {473--488},
publisher = {mathdoc},
volume = {198},
number = {3},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a5/}
}
TY - JOUR AU - V. N. Rodionov AU - A. M. Mandel AU - G. A. Kravtsova TI - Restriction of the~fermion mass spectrum in $PT$-symmetric systems and its implications for studying dark matter JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2019 SP - 473 EP - 488 VL - 198 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a5/ LA - ru ID - TMF_2019_198_3_a5 ER -
%0 Journal Article %A V. N. Rodionov %A A. M. Mandel %A G. A. Kravtsova %T Restriction of the~fermion mass spectrum in $PT$-symmetric systems and its implications for studying dark matter %J Teoretičeskaâ i matematičeskaâ fizika %D 2019 %P 473-488 %V 198 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a5/ %G ru %F TMF_2019_198_3_a5
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. Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 3, pp. 473-488. http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a5/