Abstract
This is a victory declaration in the theory of a quantized field propagating in a given curved background space-time. We now have an unambiguous, internally consistent quantum theory of such a system, in which any physical quantity can in principle be calculated. Whether this kind of model is relevant to the real world is a separate question. I shall present the theory rather dogmatically. Doctrine i: The physical interpretation of a quantum field theory in curved space must be sought in the stress-energy-momentum tensor and other local field observables. (Particle observables are not meaningful, in general.) As a concrete example, let's keep in mind the minimally coupled neutral scalar field, whose stress tensor is
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