Analyticity and Causality in Conformal Field Theory

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.

arXiv comment13 pages

References in corpus (7)

• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Analyticity in Spin in Conformal Theories
• Convexity and Liberation at Large Spin
• Averaged Null Energy Condition from Causality
• Causality Constraints in Conformal Field Theory
• Bounds for OPE coefficients on the Regge trajectory
• Lorentzian CFT 3-point functions in momentum space

Cited by in corpus (3)

• ANEC in $\lambda {\varphi }^4$ theory
• Causality, Crossing and Analyticity in Conformal Field Theories
• PCT Theorem, Wightman Axioms and Conformal Bootstrap