CHO DECOMPOSITION OF ONE HALF INTEGER MONOPOLES SOLUTIONS
We performed the Cho decomposition of the SU(2) Yang Mills Higgs gauge potentials of the finite energy (1) one half monopole solution and (2) the one and a half monopoles solution into Abelian and non Abelian components. We found that the semi infinite string singularity in the gauge potentials is a contribution from the Higgs field of the one half monopole in both of the solutions. The non Abelian components of the gauge potentials are able to remove the point singularity of the Abelian components of the 't Hooft Polyakov monopole but not the string singularity of the one half monopole which is topological in nature. Hence the total energy of a one monopole is infinite in the Maxwell electromagnetic theory but the total energy of a one half monopole is finite. By analyzing the magnetic fields and the gauge covariant derivatives of the Higgs field, we are able to conclude that both the one half integer monopoles solutions are indeed non BPS even in the limit of vanishing Higgs self coupling constant.