Open Access
2016 Constant Solutions of Yang-Mills Equations and Generalized Proca Equations
Nikolay Marchuk, Dmitry Shirokov
J. Geom. Symmetry Phys. 42: 53-72 (2016). DOI: 10.7546/jgsp-42-2016-53-72


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.


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Nikolay Marchuk. Dmitry Shirokov. "Constant Solutions of Yang-Mills Equations and Generalized Proca Equations." J. Geom. Symmetry Phys. 42 53 - 72, 2016.


Published: 2016
First available in Project Euclid: 31 May 2017

zbMATH: 1366.35152
MathSciNet: MR3586443
Digital Object Identifier: 10.7546/jgsp-42-2016-53-72

Rights: Copyright © 2016 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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