One spectral property of Yang-Mills operator

Nikolay Marchuk, Steklov Mathematical Institute, Moscow, Russia

Yang-Mills equations are used in Standard Model of elementary particles for description of electroweak and strong interactions. Consider an eigenvalue problem for the Yang-Mills operator. We've found one nonzero eigenvalue and corresponding eigenvector for the Yang-Mills operator. On this basis we present a new class of gauge invariant solutions of the Yang-Mills equations.