On the structure of Yang–Mills fields in compactified Minkowski space

Abstract

In this work the Yang–Mills functional with gauge group SU(2) in compactified Minkowski space is reduced to a mechanical Lagrangian which enables one to find new classes of exact dual and nonself-dual solutions. The technique used in the reduction allows a simple interpretation of meron-type solutions. The formalism is then used to produce a good simple analytic approximation to static solutions of Skyrme’s field equation, relevant to low energy hadronic interactions.