Details
| Original language | English |
|---|---|
| Pages (from-to) | 4543-4590 |
| Number of pages | 48 |
| Journal | Annales Henri Poincare |
| Volume | 25 |
| Issue number | 10 |
| Early online date | 16 Feb 2024 |
| Publication status | Published - Oct 2024 |
Abstract
We discuss high energy properties of states for (possibly interacting) quantum fields in curved spacetimes. In particular, if the spacetime is real analytic, we show that an analogue of the timelike tube theorem and the Reeh–Schlieder property hold with respect to states satisfying a weak form of microlocal analyticity condition. The former means the von Neumann algebra of observables of a spacelike tube equals the von Neumann algebra of observables of a significantly bigger region that is obtained by deforming the boundary of the tube in a timelike manner. This generalizes theorems by Araki (Helv Phys Acta 36:132–139, 1963) and Borchers (Nuovo Cim (10) 19:787–793, 1961) to curved spacetimes.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematics(all)
- Mathematical Physics
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In: Annales Henri Poincare, Vol. 25, No. 10, 10.2024, p. 4543-4590.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Analytic States in Quantum Field Theory on Curved Spacetimes
AU - Strohmaier, Alexander
AU - Witten, Edward
N1 - Publisher Copyright: © The Author(s) 2024.
PY - 2024/10
Y1 - 2024/10
N2 - We discuss high energy properties of states for (possibly interacting) quantum fields in curved spacetimes. In particular, if the spacetime is real analytic, we show that an analogue of the timelike tube theorem and the Reeh–Schlieder property hold with respect to states satisfying a weak form of microlocal analyticity condition. The former means the von Neumann algebra of observables of a spacelike tube equals the von Neumann algebra of observables of a significantly bigger region that is obtained by deforming the boundary of the tube in a timelike manner. This generalizes theorems by Araki (Helv Phys Acta 36:132–139, 1963) and Borchers (Nuovo Cim (10) 19:787–793, 1961) to curved spacetimes.
AB - We discuss high energy properties of states for (possibly interacting) quantum fields in curved spacetimes. In particular, if the spacetime is real analytic, we show that an analogue of the timelike tube theorem and the Reeh–Schlieder property hold with respect to states satisfying a weak form of microlocal analyticity condition. The former means the von Neumann algebra of observables of a spacelike tube equals the von Neumann algebra of observables of a significantly bigger region that is obtained by deforming the boundary of the tube in a timelike manner. This generalizes theorems by Araki (Helv Phys Acta 36:132–139, 1963) and Borchers (Nuovo Cim (10) 19:787–793, 1961) to curved spacetimes.
UR - http://www.scopus.com/inward/record.url?scp=85185095812&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2302.02709
DO - 10.48550/arXiv.2302.02709
M3 - Article
AN - SCOPUS:85185095812
VL - 25
SP - 4543
EP - 4590
JO - Annales Henri Poincare
JF - Annales Henri Poincare
SN - 1424-0637
IS - 10
ER -