Fermions localized on U(1) gauged Q-balls

Abstract The axially symmetric U (1) gauged self-interacting Q-balls are shown to support normalizable fermionic bound states, minimally coupled to the electromagnetic field of the Q-ball. It is shown that the effects of the backreaction of the fermionic mode are very small in the range of the system parameters studied. We explore the domain of existence of the solutions and address some of their physical properties. Among other properties, we observe that, for the bound mode, the eigenvalue of the Dirac operator remains positive, there is no zero mode in the spectrum, as expected in a theory with finite bare fermionic mass in the absence of the Yukawa coupling.

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Publication Details

Journal
The European Physical Journal C
Published
2025-07-25
DOI
https://doi.org/10.1140/epjc/s10052-025-14540-z
Primary Topic
Cold Atom Physics and Bose-Einstein Condensates
Type
article
Field-Weighted Citation Impact
0.00

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article

Fermions localized on U(1) gauged Q-balls

Yakov Shnir, Vladimir Folomeev, Vladimir Dzhunushaliev
The European Physical Journal C
Cold Atom Physics and Bose-Einstein Condensates
article

Fermions localized on U(1) gauged Q-balls

Yakov Shnir, Vladimir Folomeev, Vladimir Dzhunushaliev
article en

Abstract

Abstract The axially symmetric U (1) gauged self-interacting Q-balls are shown to support normalizable fermionic bound states, minimally coupled to the electromagnetic field of the Q-ball. It is shown that the effects of the backreaction of the fermionic mode are very small in the range of the system parameters studied. We explore the domain of existence of the solutions and address some of their physical properties. Among other properties, we observe that, for the bound mode, the eigenvalue of the Dirac operator remains positive, there is no zero mode in the spectrum, as expected in a theory with finite bare fermionic mass in the absence of the Yukawa coupling.

The European Physical Journal CVol. 85(7)
Tomsk State University of Control Systems and Radio-Electronics (RU), National Academy of Sciences (US), Universidade de São Paulo (BR), Al-Farabi Kazakh National University (KZ), Dubna State University (RU), National Nuclear Center of the Republic of Kazakhstan (KZ)
Fundação de Amparo à Pesquisa do Estado de São Paulo, Ministry of Education and Science of the Republic of Kazakhstan
Openalex Percentile: Top 86%
Cold Atom Physics and Bose-Einstein Condensates
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