  The Euclidean version of Yang-Mills theory coupled to a massive dilaton is
investigated. Our analytical and numerical results imply existence of infinite
number of branches of globally regular, spherically symmetric, dyonic type
solutions for any values of dilaton mass $m$. Solutions on different branches
are labelled by the number of nodes of gauge field amplitude $W$. They have
finite reduced action and provide new saddle points in the Euclidean path
integral.

High Energy Physics - Theory