Details
| Original language | English |
|---|---|
| Pages (from-to) | 2929–2948 |
| Number of pages | 20 |
| Journal | Annales Henri Poincare |
| Volume | 24 |
| Issue number | 9 |
| Early online date | 30 Mar 2023 |
| Publication status | Published - Sept 2023 |
Abstract
Keywords
- math-ph, math.MP
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. 24, No. 9, 09.2023, p. 2929–2948.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Adiabatic Ground States in Non-smooth Spacetimes
AU - Sanchez Sanchez, Yafet
AU - Schrohe, Elmar
N1 - Open Access funding enabled and organized by Projekt DEAL.
PY - 2023/9
Y1 - 2023/9
N2 - Ground states are a well-known class of Hadamard states in smooth spacetimes. In this paper we show that the ground state of the Klein-Gordon field in a non-smooth ultrastatic spacetime is an adiabatic state. The order of the state depends linearly on the regularity of the metric. We obtain the result by combining microlocal estimates for the causal propagator, propagation of singularities results for non-smooth pseudodifferential operators, and eigenvalue asymptotics for elliptic operators of low regularity.
AB - Ground states are a well-known class of Hadamard states in smooth spacetimes. In this paper we show that the ground state of the Klein-Gordon field in a non-smooth ultrastatic spacetime is an adiabatic state. The order of the state depends linearly on the regularity of the metric. We obtain the result by combining microlocal estimates for the causal propagator, propagation of singularities results for non-smooth pseudodifferential operators, and eigenvalue asymptotics for elliptic operators of low regularity.
KW - math-ph
KW - math.MP
UR - http://www.scopus.com/inward/record.url?scp=85151446694&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2207.01429
DO - 10.48550/arXiv.2207.01429
M3 - Article
VL - 24
SP - 2929
EP - 2948
JO - Annales Henri Poincare
JF - Annales Henri Poincare
SN - 1424-0637
IS - 9
ER -