Wick Rotation and the Positivity of Energy in Quantum Field Theory

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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.

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Kontsevich, M., & Segal, G. (2021). Wick Rotation and the Positivity of Energy in Quantum Field Theory. Quarterly Journal of Mathematics, 72(1–2), 673–699. https://doi.org/10.1093/qmath/haab027

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