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

Abstract


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

References

  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.

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