English

Analyticity and Causality in Conformal Field Theory

High Energy Physics - Theory 2020-08-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2005.01009,
  title  = {Analyticity and Causality in Conformal Field Theory},
  author = {Jnanadeva Maharana},
  journal= {arXiv preprint arXiv:2005.01009},
  year   = {2020}
}

Comments

13 pages

R2 v1 2026-06-23T15:16:11.879Z