POSSIBILITIES OF GENERALIZING FIELD THEORY PARADIGM WITHIN THE SCOPE OF THE SKYRME - FADDEEV CHIRAL MODEL
- Authors: Rybakov Y.P1
-
Affiliations:
- Peoples’ Friendship University of Russia (RUDN University)
- Issue: No 1 (2022)
- Pages: 50-54
- Section: IDEAS AND HYPOTHESES WITHIN THE FIELD-THEORETICAL PARADIGM
- URL: https://macrosociolingusictics.ru/metaphysics/article/view/30767
- DOI: https://doi.org/10.22363/2224-7580-2022-1-50-54
Cite item
Full Text
Abstract
Main points of the Einstein program for creating the consistent field formulation of particle physics are discussed. The basis of this program includes the representation of particles as clots of some material field satisfying nonlinear equations. It is shown how the stability criterion implies the characteristic features of the corresponding field model.
About the authors
Yu. P Rybakov
Peoples’ Friendship University of Russia (RUDN University)
Email: metafizika@rudn.university
3 Ordzhonikidze St, Moscow, 115419, Russian Federation
References
- Mie G. Grundlagen einer Theorie der Materie // Ann. der Physik. 1912. B. 37, S. 511-534; B. 39, S. 1-40; 1913. B. 40, S. 1-66.
- Эйнштейн А. Собрание научных трудов. Т. 2. М.: Наука, 1966.
- Эйнштейн А. Собрание научных трудов. Т. 4. М.: Наука, 1967.
- Faddeev L. D. Einstein and several contemporary tendencies in the theory of elementary particles // Relativity, Quanta, and Cosmology in the Development of the Scientific Thought of Albert Einstein. Ed. F. de Finis. N. Y., S. Fr., Lond.: Johnson Repr. Corp. Vol. 1. P. 247-266.
- Thomson J. Recent Researches in Electricity and Magnetism. Oxford: University Press, 1893.
- Bateman H. The Mathematical Analysis of Electrical and Optical Wave Motion on the Basis of Maxwell’s Equations. Cambridge: University Press, 2015.
- Mie G. Die Geometrie der Spinoren // Ann. der Physik. 1933. B. 17, S. 465-500.
- Граве Д. А. Трактат по алгебраическому анализу. Т. 1: Начала науки. Киев: Изд-во АН УССР, 1938.
- Hurwitz A. Über die Komposition der quadratischen Formen von beliebig vielen Variabeln // Nachr. Ges. der Wiss. Gött. 1898. S. 309-316.
- Конвей Дж. Х., Смит Д. А. О кватернионах и октавах, об их геометрии, арифметике и симметриях. М.: Изд-во МЦНМО, 2009.
- Nœther M. Francesco Brioschi // Math. Ann. 1898. B. 50/ S. 477-491.
- Cartan E. The Theory of Spinors. Paris: Hermann, 1966.
- Skyrme T. H. R. A unified field theory of mesons and baryons // Nucl. Phys. 1962. Vol. 31, No 4. P. 556-569.
- Faddeev L. D. Gauge invariant model of electromagnetic and weak interactions of leptons // Rep. Acad. Sci. USSR. 1973. Vol. 210, No 4. P. 807-810.
- Rybakov Yu. P. Axially symmetric topological configurations in the Skyrme and Faddeev chiral models // Eurasian Math. Journal. 2015. Vol. 6, No 2. P. 82-89.
- Rybakov Yu. P. Topological solitons in the Skyrme - Faddeev spinor model and quantum mechanics // Gravitation and Cosmology. 2016. Vol. 22, No 2. P. 179-186.
- Rybakov Yu. P. Shadow/dark photons and the spinor realization of the Skyrme - Faddeev - Einstein chiral model // Materials of the All-Russia LVII-th Conference on Problems in Dynamics, Particle Physics and Optoelectronics (17-21 May 2021). Moscow: RUDN, 2021. Р. 100-104.