Resurgence of a de Sitter Glauber-Sudarshan State: Nodal Diagrams and Borel Resummation
arXiv:2211.09181 · doi:10.1002/prop.202300136
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.
116 pages, 16 pdf figures, comments welcome; v2: Typos corrected, references updated, final version appearing in Fortschritte der Physik
References in corpus (14)
- and dS
- Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
- Benchmarking the cosmological master equations
- The trans-Planckian censorship conjecture from the swampland distance conjecture
- Quantum corrections to the primordial tensor spectrum: Open EFTs & Markovian decoupling of UV modes
- de Sitter Space as a Glauber-Sudarshan State: II
- Quantum Hotspots: Mean Fields, Open EFTs, Nonlocality and Decoherence Near Black Holes
- de Sitter as a Resonance
- Crisis on Infinite Earths: Short-lived de Sitter Vacua in the String Theory Landscape
- Anti-brane uplift instability from goldstino condensation
- Goldstino Condensation?
- Purely non-perturbative AdS vacua and the swampland
- Snowmass White Paper: Implications of Quantum Gravity for Particle Physics
- UV/IR Mixing, Causal Diamonds and the Electroweak Hierarchy Problem
Cited by in corpus (7)
- Non-Supersymmetric AdS from String Theory
- What if string theory has a de Sitter excited state?
- Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
- de Sitter State in Heterotic String Theory
- A Computational Companion to Transient de Sitter and Quasi de Sitter States in SO(32) and E_8 X E_8 Heterotic String Theories I: Formalisms
- Resurgence in the Scalar Quantum Electrodynamics Euler-Heisenberg Lagrangian
- de Sitter Excited State in Heterotic E_8 x E_8 Theory