# Osterwalder-Schrader Axioms

**Definition:** The Osterwalderâ€“Schrader theorem states conditions that correlation functions on Euclidean spacetime have to satisfy to be equivalent to the correlation functions of a Wightman QFT on Minkowski spacetime.

- It guides us how to relate collection functions calculated in
*flat*spacetimes with Euclidean and Lorentzian signatures. Unfortunately, nothing like this is known when GR is involved, meaning with dynamical spacetime.

Permalink athttps://www.physicslog.com/physics-notes/qft-ps/osterwalder-schrader-axioms

Published onMay 28, 2021

Last revised onJan 18, 2023