Here 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 equation and Yang-Mills equations and it is not gauge invariant. We present a number of constant solutions of this system of equations in the case of arbitrary Lie algebra. We consider in detail the case when this Lie algebra is a Clifford or a Grassmann algebra and derive solutions of Yang-Mills equations in the form of perturbation theory series near the constant solution.
"Constant Solutions of Yang-Mills Equations and Generalized Proca Equations." J. Geom. Symmetry Phys. 42 53 - 72, 2016. https://doi.org/10.7546/jgsp-42-2016-53-72