12 citations · 25 across the 7 of their papers we have counts for
9 papers
Sketch of a Gauge Model of Gravity with SU(2) Symmetry in Minkowski space
Nikolay Marchuk
We propose a gauge model with the SU(2) symmetry, which describes a gravitational interaction of fundamental fermions (leptons and quarks) in the Minkowski space. In the Standard M…
Model Dirac and Dirac-Hestenes equations as covariantly equipped systems of equations
Nikolay Marchuk
We define a new class of partial differential equations of first order (complex covariantly equipped systems of equations), which are invariant with respect to (pseudo)orthogonal c…
Constant solutions of Yang-Mills equations and generalized Proca equations
N. G. Marchuk, D. S. Shirokov
In this paper we present some new equations which we call Yang-Mills-Proca equations (or generalized Proca equations). This system of equations is a generalization of Proca equatio…
Classification of extended Clifford algebras
Nikolay Marchuk
Considering tensor products of special commutative algebras and general real Clifford algebras, we arrive at extended Clifford algebras. We have found that there are five types of…
A new nonlinear generalization of the Dirac equation
Nikolay Marchuk
We postulate a new nonlinear generalization of the Dirac equation for an electron. Basic properties of the new equation are considered.
Generalized exterior algebras
Nikolay Marchuk
Exterior algebras and differential forms are widely used in many fields of modern mathematics and theoretical physics. In this paper we define a notion of -metric exterior algeb…