标题： （费米子）质量遇到（内在）曲率 显示英文标题

标题： (Fermionic)Mass Meets (Intrinsic)Curvature

摘要： 利用真空对的概念，我们展示了费米子的质量矩阵（平方）可以几何地视为曲率。 这个曲率与时空的曲率一起，定义了表示“自由”费米子的 Clifford 模块丛的总曲率，在自发破缺的 Yang-Mills-Higgs 规范理论的几何框架内。 这里讨论的几何框架自然产生了一类 Lagrangian 密度。 证明了表示自由费米子的 Clifford 模块丛的几何结构由一个规范谱不变 Lagrangian 密度描述。 显示英文摘要

摘要： Using the notion of vacuum pairs we show how the (square of the) mass matrix of the fermions can be considered geometrically as curvature. This curvature together with the curvature of space-time, defines the total curvature of the Clifford module bundle representing a ``free'' fermion within the geometrical setup of spontaneously broken Yang-Mills-Higgs gauge theories. The geometrical frame discussed here gives rise to a natural class of Lagrangian densities. It is shown that the geometry of the Clifford module bundle representing a free fermion is described by a canonical spectral invariant Lagrangian density.