Resurgence of a de Sitter Glauber‐Sudarshan State: Nodal Diagrams and Borel Resummation

Abstract: It is shown in this article that an explicit construction of a four‐dimensional de Sitter space may be performed using a diagrammatic approach via nodal diagrams emanating from the path integral representation of the Glauber‐Sudarshan state. Sum of these diagrams typically leads to an asymptotic series of Gevrey kind which can then be Borel resummed, thus reproducing the non‐perturbative structure of the system. The analysis shows that four‐dimensional de Sitter space is not only possible in string theory overcoming the no‐go and the swampland criteria—albeit as a Glauber‐Sudarshan state—but it may also be non‐perturbatively stable within a controlled temporal domain. Somewhat consistently, the Borel resummation of the Gevrey series provides strong hint towards the positivity of the cosmological constant.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Resurgence of a de Sitter Glauber‐Sudarshan State: Nodal Diagrams and Borel Resummation ; day:12 ; month:07 ; year:2023 ; extent:77 ; Fortschritte der Physik ; (12.07.2023) (gesamt 77)

Contributors, Places and Time

• Creator: Brahma, Suddhasattwa ; Dasgupta, Keshav ; Faruk, Mir‐Mehedi ; Kulinich, Bohdan ; Meruliya, Viraj ; Pym, Brent ; Tatar, Radu

Further information

• DOI: 10.1002/prop.202300136
• URN: urn:nbn:de:101:1-2023071315212056946111
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 14.08.2025, 11:01 AM CEST