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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

  • Nicola Pinamonti
  • Ko SandersEmail author
  • Rainer Verch
Article
  • 13 Downloads

Abstract

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.

Keywords

Quantum field theory KMS condition Microlocal spectrum condition 

Mathematics Subject Classification

81T20 

Notes

Acknowledgements

NP thanks the Institute for Theoretical Physics of the University of Leipzig for the kind hospitality during the preparation of this work and the DAAD for supporting this visit with the program “Research Stays for Academics 2017.” KS thanks Christian Gérard for bringing his notes on this result to the attention of NP and RV

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di GenovaGenoaItaly
  2. 2.Istituto Nazionale di Fisica Nucleare - Sezione di GenovaGenoaItaly
  3. 3.School of Mathematical Sciences and Centre for Astrophysics and RelativityDublin City UniversityDublin 9Ireland
  4. 4.Institute for Theoretical PhysicsUniversity of LeipzigLeipzigGermany

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