Decomposition of the meron configuration of anSU(2)gauge field

Minoru Hirayama, Jun Yamashita
2004 Physical Review D  
For the meron configuration of the SU(2) gauge field in the four dimensional Minkowskii spacetime, the decomposition into an isovector field $\bn$, isoscalar fields $\rho$ and $\sigma$, and a U(1) gauge field $C_{\mu}$ is attained by solving the consistency condition for $\bn$. The resulting $\bn$ turns 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
more » ... ular points, while $\rho$ and $\sigma$ are regular everywhere.
doi:10.1103/physrevd.69.125003 fatcat:cunhnbvw7bbtpoxrgnyc5wfe4q