论文标题
在量子空间上的仪表理论
Gauge theories on quantum spaces
论文作者
论文摘要
我们回顾了基于非共同空间时间描述的各种量子空间时间建立的量规理论的现状。给出了其构造基础的数学工具和概念。覆盖了摩al层空间以及量子空间上的仪表理论模型的不同公式，其坐标形成了一个代数，尤其强调了一些探索的量子特性。最近还考虑了旨在将重力动态包括在非交通框架中的尝试。
We review the present status of gauge theories built on various quantum space-times described by noncommutative space-times. The mathematical tools and notions underlying their construction are given. Different formulations of gauge theory models on Moyal spaces as well as on quantum spaces whose coordinates form a Lie algebra are covered, with particular emphasis on some explored quantum properties. Recent attempts aiming to include gravity dynamics within a noncommutative framework are also considered.
