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Wick rotation and the positivity of energy in quantum field theory

Published 21 May 2021 in hep-th, math-ph, math.CV, and math.MP | (2105.10161v1)

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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