标题： SL(2,R) 规范理论在圆上的理论 显示英文标题

标题： SL(2,R) Yang-Mills theory on a circle

摘要： 考虑了SL(2,R)杨-米尔斯理论在圆上的运动学，具体原因详见原文。 规范变换表现出双曲不动点，这导致物理构型空间具有非Hausdorff“网络”拓扑结构。 然后在正则量子化过程中遇到的歧义比紧致情况下更为明显，并且无法通过在紧致情况下诉诸群论的方法来解决。 显示英文摘要

摘要： The kinematics of SL(2,R) Yang-Mills theory on a circle is considered, for reasons that are spelled out. The gauge transformations exhibit hyperbolic fixed points, and this results in a physical configuration space with a non-Hausdorff "network" topology. The ambiguity encountered in canonical quantization is then much more pronounced than in the compact case, and can not be resolved through the kind of appeal made to group theory in that case.