2022/09/01 by Jiaxin Qiao, Qiao, Jiaxin · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Markov Chains and Monte Carlo Methods #Quantum Chromodynamics and Particle Interactions #Random Matrices and Applications
paper · pdf · doi:10.48550/arxiv.2209.00285
openalex publication_date 2022/09/01 · openalex created_date 2022/09/03 · openalex updated_date 2026/07/28
Conformal field theories (CFTs) in Euclidean signature satisfy well-accepted rules, such as conformal invariance and the convergent Euclidean operator product expansion (OPE). Nowadays, it is common to assume that CFT correlators exist and have various properties in the Lorentzian signature. Some of these properties may represent extra assumptions, and it is an open question if they hold for familiar statistical-physics CFTs such as the critical 3d Ising model. In this thesis, we clarify that at the level of four-point functions, the Euclidean CFT axioms imply the standard quantum field theory axioms such as Osterwalder-Schrader axioms (in Euclidean) and Wightman axioms (in Lorentzian).