Magnetic monopoles in pure $SU (2)$ Yang–Mills theory with a gauge-invariant mass

@article{Nishino2018MagneticMI,
  title={Magnetic monopoles in pure \$SU (2)\$ Yang–Mills theory with a gauge-invariant mass},
  author={Shogo Nishino and Ryutaro Matsudo and Matthias Warschinke and Kei-ichi Kondo},
  journal={Progress of Theoretical and Experimental Physics},
  year={2018}
}
In this paper, we show the existence of magnetic monopoles in the pure $SU(2)$ Yang--Mills theory even in absence of scalar fields when the gauge-invariant mass term is introduced. This result follows from the recent proposal for obtaining the gauge field configurations in the Yang-Mills theory from the solutions of the field equations in the "complementary" gauge-scalar model with the radial length of the scalar field being fixed. The gauge-invariant mass term is obtained through a change of… 
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