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arXiv · 2211.09181

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

Suddhasattwa Brahma·Keshav Dasgupta·Mir-Mehedi Faruk·Bohdan Kulinich·Viraj Meruliya·Brent Pym·Radu Tatar
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Abstract

We show 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. Our 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.

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Suddhasattwa Brahma, Keshav Dasgupta, Mir-Mehedi Faruk, Bohdan Kulinich, Viraj Meruliya, Brent Pym, Radu Tatar. 2022-11-16. Resurgence of a de Sitter Glauber-Sudarshan State: Nodal Diagrams and Borel Resummation. https://doi.org/10.1002/prop.202300136

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