Wick Rotation and the Positivity of Energy in Quantum Field Theory

Abstract We propose a new axiom system for unitary quantum field theories on curved space-time backgrounds, by postulating that the partition function and the correlators extend analytically to a certain domain of complex-valued metrics. Ordinary Riemannian metrics are contained in the allowable dom...

Full description

Saved in:
Bibliographic Details
Published in:Quarterly journal of mathematics 2021-06, Vol.72 (1-2), p.673-699
Main Authors: Kontsevich, Maxim, Segal, Graeme
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract We propose a new axiom system for unitary quantum field theories on curved space-time backgrounds, by postulating that the partition function and the correlators extend analytically to a certain domain of complex-valued metrics. Ordinary Riemannian metrics are contained in the allowable domain, while Lorentzian metrics lie on its boundary.
ISSN:0033-5606
1464-3847
DOI:10.1093/qmath/haab027