由因果作用原理得出的物理规范群约束
Constraints for Physical Gauge Groups Coming from the Causal Action Principle
浏览论文内容
中文总结 AI 辅助
本文回顾因果费米子系统中由因果作用原理得出的有效局域规范群约束，并揭示二次型约束在李代数与克利福德代数间的联系，从手征势出发系统阐述并举例说明。
中文摘要 AI 辅助
本文回顾了因果费米子系统中由因果作用原理得出的有效局域规范群的约束。研究表明，规范势中二次型的约束（源自所谓的双线性对数项）在李代数与克利福德代数结构之间建立了联系。这一联系从对应于规范群 $\mathrm{U}(N) \times \mathrm{U}(N)$ 的一般手征势出发，被系统地加以阐述。一般结果通过多个例子加以说明。
英文摘要
The constraints for the effective local gauge groups stemming from the causal action principle for causal fermion systems are reviewed. The constraint which are quadratic in the gauge potentials (coming from the so-called bilinear logarithmic terms) are shown to make a connection between the structures of Lie algebras and Clifford algebras. This connection is worked out systematically starting from general chiral potentials corresponding to the gauge group $\mathrm{U}(N) \times \mathrm{U}(N)$. The general results are illustrated in various examples.
发表机构
- Department of Physics, Xi’an Jiaotong-Liverpool University（西交利物浦大学物理系）
机构由 AI 辅助整理，请以论文原文为准。
