In the previous paper, we have shown the existence of magnetic monopoles in the pure SU(2) Yang–Mills theory with a gauge-invariant mass term for the gluon field being introduced. In this paper, we extend our previous construction of magnetic monopoles to obtain dyons with both magnetic and electric charges. In fact, we solve under the static and spherically symmetric ansatz the field equations of the SU(2) “complementary” gauge-scalar model, which is the SU(2) Yang–Mills theory coupled to a single adjoint scalar field whose radial degree of freedom is eliminated. We show that the novel dyon solution can be identified with the gauge field configuration of a dyon with a minimum magnetic charge in the massive Yang–Mills theory. Moreover, we compare the dyon of the massive Yang–Mills theory obtained in this way with the Julia–Zee dyon in the Georgi–Glashow gauge-Higgs scalar model and the dyonic extension of the Wu–Yang magnetic monopole in the pure Yang–Mills theory. Finally, we identify the novel dyon solution found in this paper with a dyon configuration on \(S^1 \times {\mathbb {R}}^3\) space with nontrivial holonomy and propose to use it to understand the confinement/deconfinement phase transition in the Yang–Mills theory at finite temperature, instead of using the dyons constituting the Kraan–van Baal–Lee–Lu caloron.

中文翻译：

---

SU（2）Yang-Mills理论中的Dyon，具有对夸克约束的轨距不变胶子质量

在先前的论文中，我们已经证明了纯SU（2）Yang-Mills理论中存在磁单极子，并且引入了胶子场的质量不变量项。在本文中，我们扩展了先前的磁性单极子结构，以获得同时具有磁性和电荷的双极。实际上，我们在静态和球对称ansatz下求解SU（2）“互补”标量标量模型的场方程，即SU（2）Yang-Mills理论与消除径向自由度的单个伴随标量场耦合。我们证明了新颖的达因解可以通过在大规模杨-米尔斯理论中具有最小磁电荷的达因的标尺场配置来识别。此外，我们将以这种方式获得的大规模杨-米尔理论的dyon与Georgi-Glashow标-希格斯标量模型中的Julia-Zee dyon和纯杨-mills中Wu-Yang磁单极子的dyonic扩展进行了比较。理论。最后，我们确定了本文中发现的新型dyon解，其中dyon配置为\（S ^ 1 \ times {\ mathbb {R}} ^ 3 \） 空间具有非平凡的完整性，并建议使用它来理解有限温度下Yang-Mills理论中的约束/解除约束相变，而不是使用构成Kraan-van Baal-Lee-Lu caloron的达因。