Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation

dc.creatorFeranchuk, Ilya D.
dc.creatorFeranchuk, Sergey I.
dc.date2007-12-07
dc.date.accessioned2026-07-07T12:19:54Z
dc.date.available2026-07-07T12:19:54Z
dc.descriptionThe 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 $e_0$ and the mass $m_0$ 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 $m_μ/m$; 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 $e \ll 1$ corresponds to the strong coupling expansion in a power of the ``primary'' charge $e^{-1}_0 \sim 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.
dc.descriptionThis is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0712.1107
dc.identifierhttp://arxiv.org/abs/0712.1107
dc.identifierSIGMA 3:117,2007
dc.identifierdoi:10.3842/SIGMA.2007.117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212920
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Phenomenology
dc.titleSelf-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation
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