论文标题
3D拓扑结晶绝缘子的相互作用边界的有效场理论通过持续化
Effective field theories for interacting boundaries of 3D topological crystalline insulators through bosonisation
论文作者
论文摘要
在这里，我们在存在一般四分之一的接触相互作用的情况下分析了两个空间维度的两个空间维度。通过采用功能性持续化技术，我们证明，取决于费米相互作用的耦合，该系统可以通过各种拓扑庞大的规格理论有效地描述。在这些有效的理论中，我们获得了具有高阶衍生物以及两个耦合的Chern-Simons理论的扩展的Chern-Simons理论。我们的形式主义允许对出现的相互作用的效率进行一般描述，例如，在三维拓扑晶体绝缘子的边界处。
Here, we analyse two Dirac fermion species in two spatial dimensions in the presence of general quartic contact interactions. By employing functional bosonisation techniques, we demonstrate that depending on the couplings of the fermion interactions the system can be effectively described by a rich variety of topologically massive gauge theories. Among these effective theories, we obtain an extended Chern-Simons theory with higher order derivatives as well as two coupled Chern-Simons theories. Our formalism allows for a general description of interacting fermions emerging, for example, at the gapped boundary of three-dimensional topological crystalline insulators.
