dc.identifier.uri |
http://dx.doi.org/10.15488/14888 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/15007 |
|
dc.contributor.author |
Sanchez Sanchez, Yafet
|
|
dc.contributor.author |
Schrohe, Elmar
|
|
dc.date.accessioned |
2023-10-06T05:24:40Z |
|
dc.date.available |
2023-10-06T05:24:40Z |
|
dc.date.issued |
2023 |
|
dc.identifier.citation |
Sanchez Sanchez, Y.; Schrohe, E.: Adiabatic Ground States in Non-smooth Spacetimes. In: Annales Henri Poincaré 24 (2023), Nr. 9, S. 2929-2948. DOI: https://doi.org/10.1007/s00023-023-01280-7 |
|
dc.description.abstract |
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 a propagation of singularities result for non-smooth pseudodifferential operators, properties of the causal propagator, and eigenvalue asymptotics for elliptic operators of low regularity. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Cham (ZG) : Springer International Publishing AG |
|
dc.relation.ispartofseries |
Annales Henri Poincaré 24 (2023), Nr. 9 |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
|
dc.subject |
quantum-field theory |
eng |
dc.subject |
Hadamard states |
eng |
dc.subject |
construction |
eng |
dc.subject.ddc |
530 | Physik
|
|
dc.subject.ddc |
510 | Mathematik
|
|
dc.title |
Adiabatic Ground States in Non-smooth Spacetimes |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1424-0661 |
|
dc.relation.issn |
1424-0637 |
|
dc.relation.doi |
https://doi.org/10.1007/s00023-023-01280-7 |
|
dc.bibliographicCitation.issue |
9 |
|
dc.bibliographicCitation.volume |
24 |
|
dc.bibliographicCitation.firstPage |
2929 |
|
dc.bibliographicCitation.lastPage |
2948 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|