Rescuing a black hole in the large-$q$ coupled SYK model
| Autor: | Yuri D. Lensky, Xiao-Liang Qi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Black Holes Spacetime Singularities Field (physics) FOS: Physical sciences QC770-798 AdS-CFT Correspondence 01 natural sciences symbols.namesake General Relativity and Quantum Cosmology Nuclear and particle physics. Atomic energy. Radioactivity Quantum mechanics 0103 physical sciences Effective field theory 010306 general physics Physics 010308 nuclear & particles physics Horizon Black hole Condensed Matter - Other Condensed Matter AdS/CFT correspondence High Energy Physics - Theory (hep-th) symbols Gravitational singularity Hamiltonian (quantum mechanics) Ground state 2D Gravity Other Condensed Matter (cond-mat.other) |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-42 (2021) |
| Popis: | In this paper, we develop a general effective theory for two copies of the Sachdev-Ye-Kitaev (SYK) model with a time-dependent bilinear coupling. For a quantum quench problem with an initial state of the thermofield double state, we show how the evolution of the system is described by a complex reparametrization field with a classical Hamiltonian. We study correlation functions in this system and compare the large-$q$ theory with the bulk low energy effective theory. In particular, we study the special case of a ``rescued black hole'', which describes how a time-evolved thermofield double state can evolve to the ground state of a coupled SYK model by a carefully tuned time-dependent coupling. In the low energy region, there is a holographic dual interpretation, which is a geometry that crosses over from an eternal black hole to a global AdS$_2$ vacuum. This family of geometries allow us to access the bulk region that would be the black hole interior without the rescue process. By comparing the large-$q$ and low energy theory, we find that even in the low energy region the deviation from the low energy theory cannot be neglected if the rescue process starts late. This provides evidence that the low energy effective theory of the bulk fails near the inner horizon of the black hole. We note the possibility of a connection to a two-dimensional analog of the higher-dimensional black hole singularity. 30 pages, 10 figures |
| Databáze: | OpenAIRE |
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