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.

中文翻译：

---

量子场论中的威克旋转和能量的正性

我们通过假设配分函数和相关器解析地扩展到复值度量的某个域，为弯曲时空背景上的酉量子场理论提出了一个新的公理系统。普通黎曼度量包含在允许域中，而洛伦兹度量位于其边界。