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Glauber-Sudarshan States, Wave Functional of the Universe and the Wheeler-De Witt equation

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arxiv 2409.03015 v1 pith:NLTHKBS6 submitted 2024-09-04 hep-th gr-qc

Suddhasattwa Brahma , Keshav Dasgupta , Fangyi Guo , Bohdan Kulinich This is my paper · ORCID
classification hep-thgr-qc
keywords statesequationfunctionalglauber-sudarshanstatewavewheeler-dewitt
verification ladder T0 review T1 audit T2 compute T3 formal
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One of the pertinent question in the analysis of de Sitter as an excited state is what happens to the Glauber-Sudarshan states that are off-shell, i.e. the states that do not satisfy the Schwinger-Dyson equations. We argue that these Glauber-Sudarshan states, including the on-shell ones, are controlled by a bigger envelope wave functional namely a wave functional of the universe which surprisingly satisfies a Wheeler-De Witt equation. We provide various justification of the aforementioned identification including the determination of the emergent Hamiltonian constraint appearing in the Wheeler-De Witt equation that is satisfied by both the on- and off-shell states. Our analysis provides further evidence of why a transient four-dimensional de Sitter phase in string theory should be viewed as an excited state over a supersymmetric warped Minkowski background and not as a vacuum state.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Coherent states versus Glauber-Sudarshan States: Bootstrapping, Schwinger-Keldysh Contours and Lefschetz Thimbles

    hep-th 2026-07 conditional novelty 5.0 of 10

    Quasi-de Sitter spacetimes can be realized as Glauber-Sudarshan excited states built over supersymmetric Minkowski vacua, held consistent by a bootstrap self-consistency equation rather than by a potential minimum.

  2. Wheeler-De Witt equation and the Canonical Construction of the Glauber-Sudarshan States in Quantum Gravity

    hep-th 2024-11 reject novelty 4.0 of 10

    Backreaction of Glauber-Sudarshan states is claimed to convert a supersymmetric Minkowski vacuum into a transient de Sitter phase, with a positive cosmological constant emerging from Borel resummation.

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