Hyperbolic Singular Value Decomposition in the Study of Yang–Mills and Yang–Mills–Proca Equations.

The hyperbolic singular value decomposition is used for studying the Yang–Mills equations with SU(2) gauge symmetry and the Yang–Mills–Proca equations in a pseudo-Euclidean (or Euclidean) space of an arbitrary finite dimension and signature. An explicit form of all constant solutions to the system of Yang–Mills–Proca equations in the case of the Lie group SU(2) is obtained. Nonconstant solutions to the Yang–Mills–Proca equations are considered as perturbation theory series. [ABSTRACT FROM AUTHOR]