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Wick Rotation and the Positivity of Energy in Quantum Field Theory
Maxim Kontsevich, Graeme Segal
Source abstract
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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