# Lorentzian CFT ## From Euclidean to Lorentzian - one can always ‘return’ to the Lorentzian theory provided that certain requirements are satisfied via the [[0112 Osterwalder-Schrader reconstruction theorem]] - position space correlation functions are simply obtained from Euclidean ones by $i\epsilon$ prescription ## Momentum space correlator - momentum space correlator worked out in [[BautistaGodazgar2019]] ## Lorentzian is better - Wightman functions are not as simple as their Euclidean cousins: their richer structure contains more information - causality - leads to proof of ANEC [[HartmanKunduTajdini2017]]