论文标题
大量的光子和费米混合作为双层系统中额外离散尺寸的表现
Massive photon and fermion mixing as manifestations of an extra discrete dimension in bilayer systems
论文作者
论文摘要
通过扩展的Dirac运算符引入离散维度，以在通用$ d+1 $二维双层系统的几何框架中包括层间交互。在此扩展时空中的光子及其kaluza-klein合作伙伴将涉及一对矢量字段以及标量场，该字段描述了两层之间的一对局部跳跃。标量场的四分之一电位触发了Abelian Higgs机制，该机制为一个向量场提供了质量，该机构描述了短程相互作用。沿额外尺寸的离散衍生物会产生一个非对角线质量基质，其本征态将其与混合角度混合在两层上。光子的kaluza-klein兄弟姐妹的耦合，包括质量，大量和标量的带有质量特征的质量，也将取决于混合角度。因此，双层系统中的层间相互作用通过这些新功能通过额外的离散维度优雅地表现出来。在特定情况下，具有不同质量的费米子的短距离力，弱和强的耦合方案可能会导致新的物理后果在不同的现实$ 2+1 $和$ 3+1 $二维双层系统中发现。
Discrete dimension is introduced via an extended Dirac operator to include the interlayer interactions in a geometric framework of generic $d+1$-dimensional bilayer systems. The photon and its Kaluza-Klein partners in this extended space-time will involve a pair of vector fields together with a scalar field, which describes a pair of local jumping between the layers. The quartic potential of the scalar field triggers an abelian Higgs mechanism, which gives a mass to one vector field, which describes a short-range interaction. The discrete derivative along the extra dimension generates a non-diagonal mass matrix, whose eigenstates mix the fermions on two layers with a mixing angle. The couplings of the Kaluza-Klein siblings of photon including massless, massive, and scalar ones with the mass eigenstates of fermions will also depend on the mixing angle. Thus interlayer interactions in bilayer systems are manifested elegantly by these new features via the extra discrete dimension. In specific cases, the short-range force, weak and strong coupling regimes of the fermions with different masses can lead to new physical consequences to be discovered in different realistic $2+1$ and $3+1$-dimensional bilayer systems.
