The dyonic field-effective Lagrangian in the Abelian projection of quantum chromodynamics has been constructed using an Abelian Higgs model with confinement and dual superconductivity. It has been shown that Abelian dyons are formed by the non-Abelian dyons in the process of Abelianization. Euclidean space–time’s partition function has also been calculated using this approach. It has been further demonstrated that massive scalar mode controls the rate of condensation of the perturbation vacuum surrounding a colored source and other massive vector mode controls the colored flux’s penetration length, both for dyonically condensed vacuum state. The boundary condition between type I and type II superconductors is determined. Furthermore, it has been shown that superconductivity becomes the actual confinement method brought out by the dyonic condensation.

量子色动力学阿贝尔投影中的双子场有效拉格朗日量是使用具有限制和双超导性的阿贝尔希格斯模型构建的。研究表明，阿贝尔动力子是由非阿贝尔动力子在阿贝尔化过程中形成的。欧几里得时空配分函数也可以使用这种方法计算。进一步证明，质量标量模式控制有色源周围的微扰真空的凝结速率，而其他质量矢量模式控制有色通量的穿透长度，两者都适用于动态凝结真空状态。确定了 I 型和 II 型超导体之间的边界条件。此外，已经表明，超导性成为由动力凝聚带来的实际约束方法。