English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present a classification and an explicit form of all constant solutions ofthe Yang-Mills equations with ${\rm SU}(2)$ gauge symmetry for an arbitraryconstant non-Abelian current in pseudo-Euclidean space ${\mathbb R}^{p,q}$ ofarbitrary finite dimension $n=p+q$. Using hyperbolic singular valuedecomposition and two-sheeted covering of orthogonal group by spin group, wesolve the nontrivial system for constant solutions of the Yang-Mills equationsof $3n$ cubic equations with $3n$ unknowns and $3n$ parameters in the generalcase. We present a new symmetry of this system of equations. All solutions interms of the potential, strength, and invariant of the Yang-Mills field arepresented. Nonconstant solutions of the Yang-Mills equations can be consideredin the form of series of perturbation theory using all constant solutions as azeroth approximation.

Classification of all constant solutions of ${\rm SU}(2)$ Yang-Mills equations with arbitrary current in pseudo-Euclidean space ${\mathbb R}^{p,q}$