Non-abelian monopole solutions in arbitrary gauge

Abstract: The Georgi-Glashow model equations of motion are examined by general static spherically symmetric real and complex parametrizations of gauge fields in arbitrary gauge. Their connection with the known `t Hooft-Polyakov and Julia-Zee equations is shown without any gauge-fixing, elucidating so the gauge invariant meaning of corresponding functions. The obtained systems of equations have a new exact analytical solutions for complex non-abelian monopole and dyon fields with real finite or zero energy densities.