Dirac-Yang-Mills model equations with a spinor gauge symmetry


In the developed model where spin 1/2 fermions acquire masses by an interaction with (spin 1) gauge field with spinor symmetry. Particle mass is determined by the constant interaction of the particle with the gauge field.

About the authors

Nikolay G Marchuk

Steklov Mathematical Institute, Russian Academy of Sciences

Email: nmarchuk2005@yandex.ru, nmarchuk@mi.ras.ru
(к.ф.-м.н.), старший научный сотрудник, отд. математической физики; Математический институт им. В. А. Стеклова РАН; Steklov Mathematical Institute, Russian Academy of Sciences


  1. Марчук Н. Г. Модельные уравнения Дирака-Максвелла с псевдоунитарной симметрией // ТМФ, 2008. Т. 157, № 3. С. 425-435
  2. Марчук Н. Г. Уравнения теории поля и алгебры Клиффорда. М.-Ижевск: НИЦ РХД, 2009. 304 с.
  3. Marchuk N. G., Shirokov D. S. Unitary spaces on Clifford algebras // Adv. in Appl. Cliff. Alg., 2008. Vol. 18, no. 2. Pp. 237-254.
  4. Lounesto P. Clifford algebras and spinors / L.M.S. Lecture Notes. Vol. 239. Cambridge: Cambridge Univ. Press, 1997. 306 pp.
  5. Marchuk N., Dyabirov R. A symplectic subgroup of a pseudounitary group as a subset of Clifford algebra // Adv. in Appl. Cliff. Alg., 2009. Vol. 20, no. 2. Pp. 343-350.



Abstract - 30

PDF (Russian) - 11


Article Metrics

Metrics Loading ...


  • There are currently no refbacks.

Copyright (c) 2011 Samara State Technical University

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies