Quantum Field Theory in Two-Dimensional Schwarzschild-de Sitter Spacetime. I ---Empty Space---

Physics

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Scientific paper

A quantized conformal scalar field is studied in an empty two-dimensional Schwarzschild-de Sitter spacetime, which has two kinds of horizons. It is shown that there is a quantum state such that the renormalized expectation value of the stress tensor operator in the state is regular everywhere in the spacetime. We present an example of such a state in which the stress tensor not only respects the de Sitter symmetry asymptotically in the past and future but is also static in a substantial part of the spacetime.

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