Exact magnetic monopole solutions in Yang--Mills' and unified gauge theories

Magnetic monopoles are studied in non-Abelian gauge theories. The exact static spherically symmetric solutions of the magnetic monopoles in both Yang--Mills' and unified gauge theories are obtained. The energy E of the static system is calculable and it is either zero or infinite. The existence of the magnetic monopole solution is a consequence of symmetry rather than dynamics. A new definition of the electromagnetic field tensor is proposed which relates the static solution of gauge fields and the magnetic monopole solution. Experimental implications are discussed. (U.S.)