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- W4320727720 abstract "We present a classification and an explicit form of all constant solutions of the Yang-Mills equations with ${rm SU}(2)$ gauge symmetry for an arbitrary constant non-Abelian current in pseudo-Euclidean space ${mathbb R}^{p,q}$ of arbitrary finite dimension $n=p+q$. Using hyperbolic singular value decomposition and two-sheeted covering of orthogonal group by spin group, we solve the nontrivial system for constant solutions of the Yang-Mills equations of $3n$ cubic equations with $3n$ unknowns and $3n$ parameters in the general case. We present a new symmetry of this system of equations. All solutions in terms of the potential, strength, and invariant of the Yang-Mills field are presented. Nonconstant solutions of the Yang-Mills equations can be considered in the form of series of perturbation theory using all constant solutions as a zeroth approximation." @default.
- W4320727720 created "2023-02-15" @default.
- W4320727720 creator A5002545380 @default.
- W4320727720 date "2019-12-10" @default.
- W4320727720 modified "2023-10-18" @default.
- W4320727720 title "Classification of all constant solutions of ${rm SU}(2)$ Yang-Mills equations with arbitrary current in pseudo-Euclidean space ${mathbb R}^{p,q}$" @default.
- W4320727720 doi "https://doi.org/10.1142/s0217732323500967" @default.
- W4320727720 hasPublicationYear "2019" @default.
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