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

Brahma, Suddhasattwa, Dasgupta, Keshav, Faruk, Mir-Mehedi, Kulinich, Bohdan, Meruliya, Viraj, Pym, Brent and Tatar, Radu (2023) Resurgence of a de Sitter Glauber-Sudarshan State: Nodal Diagrams and Borel Resummation. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 71 (12).

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Official URL: http://dx.doi.org/10.1002/prop.202300136

Abstract

<jats:title>Abstract</jats:title><jats:p>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.</jats:p>

Item Type:	Article
Uncontrolled Keywords:	borel resummation, deSitter, string compactification
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	25 Jul 2023 09:51
Last Modified:	11 Dec 2023 04:36
DOI:	10.1002/prop.202300136
Open Access URL:	https://doi.org/10.1002/prop.202300136
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3171907