Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation
The self-localized quasi-particle excitation of the electron-positron field (EPF) is found for the first time in the framework of a standard form of the quantum electrodynamics. This state is interpreted as the ''physical'' electron (positron) and it allows one to solve the follo...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2007 |
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| Sprache: | English |
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Інститут математики НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147222 |
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| Zitieren: | Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation / I.D. Feranchuk, S.I. Feranchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 37 назв. — англ. |
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Feranchuk, I.D. Feranchuk, S.I. 2019-02-13T19:20:42Z 2019-02-13T19:20:42Z 2007 Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation / I.D. Feranchuk, S.I. Feranchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 37 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81V05; 81V10; 83C47 https://nasplib.isofts.kiev.ua/handle/123456789/147222 The self-localized quasi-particle excitation of the electron-positron field (EPF) is found for the first time in the framework of a standard form of the quantum electrodynamics. This state is interpreted as the ''physical'' electron (positron) and it allows one to solve the following problems: i) to express the ''primary'' charge e0 and the mass m0 of the ''bare'' electron in terms of the observed values of e and m of the ''physical'' electron without any infinite parameters and by essentially nonperturbative way; ii) to consider μ-meson as another self-localized EPF state and to estimate the ratio mμ/m; iii) to prove that the self-localized state is Lorentz-invariant and its energy spectrum corresponds to the relativistic free particle with the observed mass m; iv) to show that the expansion in a power of the observed charge e << 1 corresponds to the strong coupling expansion in a power of the ''primary'' charge e₀⁻¹ ~ e when the interaction between the ''physical'' electron and the transverse electromagnetic field is considered by means of the perturbation theory and all terms of this series are free from the ultraviolet divergence. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). Authors are grateful to ICTP Of fice of External Activities for the financial support of the participation in the International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation |
| spellingShingle |
Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation Feranchuk, I.D. Feranchuk, S.I. |
| title_short |
Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation |
| title_full |
Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation |
| title_fullStr |
Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation |
| title_full_unstemmed |
Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation |
| title_sort |
self-localized quasi-particle excitation in quantum electrodynamics and its physical interpretation |
| author |
Feranchuk, I.D. Feranchuk, S.I. |
| author_facet |
Feranchuk, I.D. Feranchuk, S.I. |
| publishDate |
2007 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
The self-localized quasi-particle excitation of the electron-positron field (EPF) is found for the first time in the framework of a standard form of the quantum electrodynamics. This state is interpreted as the ''physical'' electron (positron) and it allows one to solve the following problems: i) to express the ''primary'' charge e0 and the mass m0 of the ''bare'' electron in terms of the observed values of e and m of the ''physical'' electron without any infinite parameters and by essentially nonperturbative way; ii) to consider μ-meson as another self-localized EPF state and to estimate the ratio mμ/m; iii) to prove that the self-localized state is Lorentz-invariant and its energy spectrum corresponds to the relativistic free particle with the observed mass m; iv) to show that the expansion in a power of the observed charge e << 1 corresponds to the strong coupling expansion in a power of the ''primary'' charge e₀⁻¹ ~ e when the interaction between the ''physical'' electron and the transverse electromagnetic field is considered by means of the perturbation theory and all terms of this series are free from the ultraviolet divergence.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147222 |
| citation_txt |
Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation / I.D. Feranchuk, S.I. Feranchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 37 назв. — англ. |
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2025-12-07T17:12:52Z |
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2025-12-07T17:12:52Z |
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