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- W4367000208 abstract "In this paper, we provide the DeWitt propagator and its wave function in quantum cosmology using the path integral formulation of quantum gravity. The DeWitt boundary condition is introduced as a way of avoiding the Big Bang singularity by positing that the wave function of the universe vanishes near the Big Bang. However, there is currently no clear definition of the DeWitt boundary condition in the path integral formulation. To address this issue, we employ the image method, which eliminates singular paths in the forbidden region of an infinite potential and apply this method to quantum cosmology based on the Batalin-Fradkin-Vilkovisky formulation of the path integral and Picard-Lefschetz theory. We investigate the validity of the image method, and specifically, find that this method is appropriate only when the potential exhibits symmetry with respect to the boundary. Then, we show that the DeWitt propagator and the DeWitt wave function derived the image method are consistent with solutions of the Wheeler-DeWitt equation for specific models of quantum cosmology." @default.
- W4367000208 created "2023-04-27" @default.
- W4367000208 creator A5023007444 @default.
- W4367000208 date "2023-04-24" @default.
- W4367000208 modified "2023-10-01" @default.
- W4367000208 title "Summing over Non-singular Paths in Quantum Cosmology" @default.
- W4367000208 doi "https://doi.org/10.48550/arxiv.2304.12024" @default.
- W4367000208 hasPublicationYear "2023" @default.
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