论文标题
共形领域理论中的分析性和因果关系
Analyticity and Causality in Conformal Field Theory
论文作者
论文摘要
我们研究了Wightman公式中保形场理论(CFT)中相关函数的分析性能。目的是确定置换的Wightman功能的holomorphy领域。我们专注于跨越三点函数的属性。一对三分函数的全体形状领域是通过吸引JOST定理并采用分析完成技术来确定的。该程序为解决严格的基础上四点功能的交叉问题铺平了道路。
We investigate analyticity properties of correlation functions in conformal field theories (CFT) in the Wightman formulation. The goal is to determine domain of holomorphy of permuted Wightman functions. We focus on crossing property of three-point functions. The domain of holomorphy of a pair of three-point functions is determined by appealing to Jost's theorem and by adopting the technique of analytic completion. This program paves the way to address the issue of crossing for the four-point functions on a rigorous footing.