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The Timelike Tube Theorem in Curved Spacetime

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arxiv 2303.16380 v1 pith:YO24GGSF submitted 2023-03-29 hep-th math-phmath.MP

The Timelike Tube Theorem in Curved Spacetime

classification hep-th math-phmath.MP
keywords theoremquantumtimelikealgebrafieldsgeneralobservablesopen
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The timelike tube theorem asserts that in quantum field theory without gravity, the algebra of observables in an open set U is the same as the corresponding algebra of observables in its ``timelike envelope'' E(U), which is an open set that is in general larger. The theorem was originally proved in the 1960's by Borchers and Araki for quantum fields in Minkowski space. Here we sketch the proof of a version of the theorem for quantum fields in a general real analytic spacetime. Details have appeared elsewhere.

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Cited by 7 Pith papers

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