In order to study the detailed dynamics and associated nonperturbative features of QCD, a dual version of the color gauge theory based on a topologically viable homogeneous fibre bundle approach has been analysed taking into account its magnetic symmetry structure. In the dynamically broken phase of magnetic symmetry, the associated flux tube structure on a sphere in the magnetically condensed state of the dual QCD vacuum has been analyzed for the profiles of the color electric field using flux quantization and stability conditions. The color electric field has its intimate association with the vector mode of the magnetically condensed QCD vacuum, and such field configurations have been analyzed to show that the color electric flux gets localized towards the poles for a large sphere case while it gets uniformly distributed for the small sphere case in the infrared sector of QCD. The critical flux tube densities have been computed for various couplings and are shown to be in agreement with that for lead-ion central collisions in the near infrared sector of QCD. The possible annihilation/unification of flux tubes under some typical flux tube density and temperature conditions in the magnetic symmetry broken phase of QCD has also been analyzed and shown to play an important role in the process of QGP formation. The thermal variation of the profiles of the color electic field is further investigated which indicates the survival of flux tubes even in the thermal domain that leads the possibility of the formation of some exotic states like QGP in the intermediate regime during the quark-hadron phase transition.

中文翻译：

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双QCD中约束场的非微扰和热力学。

为了研究QCD的详细动力学和相关的非扰动特征，已考虑到其磁对称结构，对基于拓扑可行的均质纤维束方法的色标理论的双重版本进行了分析。在磁对称的动态破坏阶段，相关的磁通管结构使用通量量化和稳定性条件，对双QCD真空的磁凝结状态的球形球的彩色电场进行了分析。彩色电场与磁冷凝QCD真空的矢量模式有着密切的联系，并且已经分析了这种电场配置，显示出在大球体情况下，彩色电通量朝向极点局部化，而对于大球面情况则均匀分布。 QCD红外区的小球壳。已计算出各种耦合的临界通量管密度，并证明与QCD近红外区中铅离子中心碰撞的通量密度一致。还分析了在QCD的磁性对称断裂相中某些典型的通量管密度和温度条件下，通量管可能的an灭/统一现象，并显示出其在QGP形成过程中的重要作用。进一步研究了彩色电场分布的热变化，这表明通量管即使在热域中也能幸存下来，从而导致在夸克-强子相变的中间态中形成某些奇异状态（如QGP）的可能性。