TY - JOUR

T1 - The Timelike Tube Theorem in Curved Spacetime

AU - Strohmaier, Alexander

AU - Witten, Edward

N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.

PY - 2024/7

Y1 - 2024/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85196163051&partnerID=8YFLogxK

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U2 - 10.1007/s00220-024-05009-3

DO - 10.1007/s00220-024-05009-3

M3 - Article

AN - SCOPUS:85196163051

SN - 0010-3616

VL - 405

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 7

M1 - 153

ER -