论文标题
Lorentzian CFT四点功能的收敛OPE通道的分类
Classification of Convergent OPE Channels for Lorentzian CFT Four-Point Functions
论文作者
论文摘要
我们分析了标量运算符的Lorentzian CFT四点功能的操作员产品扩展（OPE）的收敛性。我们提供了洛伦兹四点配置的完整分类。每个类中的所有配置在S-，T-和U通道中具有相同的OPE收敛属性。我们提供表，包括所有课程的OPE收敛信息。我们的工作证明，在配置空间的子集中，洛伦兹CFT四点函数是真正的分析函数。我们的结果对$ d \ geq2 $中的单一CFT有效。我们的工作还提供了一些洛伦兹地区，可以从功能意义上进行自举分析。
We analyze the convergence properties of operator product expansions (OPE) for Lorentzian CFT four-point functions of scalar operators. We give a complete classification of Lorentzian four-point configurations. All configurations in each class have the same OPE convergence properties in s-, t- and u-channels. We give tables including the information of OPE convergence for all classes. Our work justifies that in a subset of the configuration space, Lorentzian CFT four-point functions are genuine analytic functions. Our results are valid for unitary CFTs in $d\geq2$. Our work also provides some Lorentzian regions where one can do bootstrap analysis in the sense of functions.
