Abstract Monopole solutions in SU(2) Yang-Mills theory which includes spinor fields described by the nonlinear Dirac equation are obtained. It is demonstrated that the energy spectrum of such a system possesses a global minimum whose appearance is brought about solely by the nonlinear spinor fields. It is shown that the monopole solution obtained differs in principle from the 't Hooft-Polyakov monopole in that it is topologically trivial.

中文翻译：

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SU(2) Yang-Mills-plus-massive-nonlinear-spinor-field 理论中的单极解

摘要 得到了包含非线性狄拉克方程描述的自旋场的SU(2) Yang-Mills理论的单极解。结果表明，这种系统的能谱具有全局最小值，其外观仅由非线性自旋场引起。结果表明，所获得的单极子解在原理上与 't Hooft-Polyakov 单极子不同，因为它在拓扑上是微不足道的。