Wick Rotation and the Positivity of Energy in Quantum Field Theory

By M. Kontsevich, G. Segal. Quarterly Journal of Mathematics, 2021

158 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/24a8fbc2b7c983ddbbe1fdfd6f6762dc1d0defef

Citations in the corpus

• A Note On Complex Spacetime Metrics (2021, unknown): “Does a restriction to allowable metrics remove unwanted examples such as the solutions of Einstein’s equations discussed in section 2? And where useful results have come from a consideration of complex solutions of Einstein’s equations, have the metrics in question been allowable? We address the fir”