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Local incompatibility of the microlocal spectrum condition with the KMS property along spacelike directions in quantum field theory on curved spacetime

States of a generic quantum field theory on a curved spacetime are considered which satisfy the KMS condition with respect to an evolution associated with a complete (Killing) vector field. It is shown that at any point where the vector field is spacelike, such states cannot satisfy a certain microl...

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Bibliographic Details
Published in:Letters in mathematical physics 2019-08, Vol.109 (8), p.1735-1745
Main Authors: Pinamonti, Nicola, Sanders, Ko, Verch, Rainer
Format: Article
Language:English
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Summary:States of a generic quantum field theory on a curved spacetime are considered which satisfy the KMS condition with respect to an evolution associated with a complete (Killing) vector field. It is shown that at any point where the vector field is spacelike, such states cannot satisfy a certain microlocal condition which is weaker than the microlocal spectrum condition in the case of asymptotically free fields.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-019-01164-0