Journal Article

PUBDB-2025-04963

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png DeWitt wave functions for de Sitter JT gravity

Buchmuller, W. (Corresponding author)Extern* ; Hebecker, A. ; Westphal, A.DESY*

2025
Springer Heidelberg

This record in other databases:      

Please use a persistent id in citations: doi:10.1007/JHEP06(2025)049  doi:10.3204/PUBDB-2025-04963

Report No.: DESY-24-105; arXiv:2412.09211

Abstract: Jackiw-Teitelboim (JT) gravity in two-dimensional de Sitter space is an intriguing model for cosmological “wave functions of the universe”. Its minisuperspace version already contains all physical information. The size of compact slices is parametrized by a scale factor h > 0. The dilaton ϕ is chosen to have positive values and interpreted as size of an additional compact slice in a higher-dimensional theory. At the boundaries h = 0, ϕ = 0, where the volume of the universe vanishes, the curvature is generically singular. According to a conjecture by DeWitt, solutions of the Wheeler-DeWitt (WDW) equation should vanish at singular loci. Recently, the behaviour of JT wave functions at large field values h, ϕ has been obtained by means of a path integral over Schwarzian degrees of freedom of a boundary curve. We systematically analyze solutions of the WDW equation with Schwarzian asymptotic behaviour. We find real analytic solutions that vanish on the entire boundary, in agreement with DeWitt’s conjecture. Projection to expanding and contracting branches may lead to singularities, which can however be avoided by an appropriate superposition of solutions. Our analysis also illustrates the limitations of semiclassical wave functions.

Keyword(s): 2D Gravity ; de Sitter space ; Models of Quantum Gravity

Note: cc-by, 57 pages, 10 figures, references added, typos corrected, version published in JHEP

---

Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)
3. DFG project G:(GEPRIS)471314740 - Holographie und das Swampland: Konsistenzbedingungen an fundamentale Physik aus der Quantengravitation (471314740) (471314740)
4. DFG project G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen, Modulräume und Integrabilität (506632645) (506632645)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

---

Database coverage:
; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; National-Konsortium ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

---

---

Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Buchmuller, W. (Corresponding author)Extern* ; Hebecker, A. ; Westphal, A.DESY*
DeWitt wave functions for de Sitter JT gravity
[10.3204/PUBDB-2024-05057]     Files  Fulltext Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

---