Decomposition of the meron configuration of an SU(2) gauge field -: art. no. 125003

For the meron configuration of the SU(2) gauge field in four-dimensional Minkowskii spacetime, the decomposition into an isovector field n, isoscalar fields rho and sigma, and a U(1) gauge field C-mu is attained by solving the consistency condition for n. The resulting n turn out to possess two singular points, behave like a monopole-antimonopole pair, and reduce to the conventional hedgehog in a special case. The C-mu field also possesses singular points, while rho and sigma are regular everywhere.