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arXiv · 2409.03015

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

Suddhasattwa Brahma·Keshav Dasgupta·Fangyi Guo·Bohdan Kulinich
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Abstract

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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Suddhasattwa Brahma, Keshav Dasgupta, Fangyi Guo, Bohdan Kulinich. 2024-09-04. Glauber-Sudarshan States, Wave Functional of the Universe and the Wheeler-De Witt equation. https://arxiv.org/abs/2409.03015

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