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• W3169978978 abstract "We consider the loop quantum theory of the spherically symmetric model of gravity coupled to Gaussian dusts, where the Guassian dusts provide a material reference frame of the space and time to deparameterize gravity. This theory, used to study the quantum features of the spherically symmetric BH, is constructed based on an 1-dimensional lattice $gammasubsetmathbb R$. Taking advantage of the path integral formulation, we investigate the quantum dynamics and obtain an effective action. With this action, we get an effective continuous description of this quantum lattice system which is not the same as the one described by the effective Hamiltonian used in arXiv:2012.05729, i.e. the classical Hamiltonian with the holonomy correction. It turns out that, the Hamiltonian derived in this paper can return to that used in arXiv:2012.05729 only for macro black holes, since the lattice $gamma$ should be chosen sufficiently fine. Moreover, the lattice is chosen sufficiently fine so that the continuous description can describe the underlying lattice theory well." @default.
• W3169978978 created "2021-06-22" @default.
• W3169978978 creator A5019905498 @default.
• W3169978978 date "2021-06-15" @default.
• W3169978978 modified "2023-10-16" @default.
• W3169978978 title "Reduced Phase Space Quantization of Black Hole, Path Integral, and Effective Dynamics" @default.
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• W3169978978 hasPublicationYear "2021" @default.
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