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A sharp transition in quantum chaos and thermodynamics of mass deformed SYK model
by Tomoki Nosaka
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Submission summary
As Contributors:  Tomoki Nosaka 
Preprint link:  scipost_202010_00024v1 
Date submitted:  20201023 17:39 
Submitted by:  Nosaka, Tomoki 
Submitted to:  SciPost Physics Proceedings 
Proceedings issue:  4th International Conference on Holography, String Theory and Discrete Approach in Hanoi 
Academic field:  Physics 
Specialties: 

Approach:  Theoretical 
Abstract
We review our recent work [arXiv:2009.10759] where we studied the chaotic property of the two coupled SachdevYeKitaev systems exhibiting a HawkingPage like phase transition. By computing the outoftimeordered correlator in the large N limit by using the bilocal field formalism, we found that the chaos exponent of this model shows a discontinuous falloff at the phase transition temperature. Hence in this model the HawkingPage like transition is correlated with a transition in chaoticity, as expected from the relation between a black hole geometry and the chaotic behavior in the dual field theory.
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Anonymous Report 1 on 20201116 (Invited Report)
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The author presented a nice review of his research work published earlier. The motivation and the setup of the research were stated concisely. Given the limited space, the author presented the result of his work with the aid of plots in an effective way.
As this is a review article, one suggestion which might benefit the readers is to focus on the explanation of physics a bit more. For example, the discussion (page 4) about the phase diagram with respect to the temperature and the coupling ($\mu$) is very interesting but somewhat limited. A slightly more elaborated discussion or explanation about the physics or implication behind the result would definitely be welcome.
The review is interesting and well written.
Requested changes
1 Just a small typo. On page 2, 9th line below equation (2), it should read "exhibits" instead of "exhibis".
2 Please state the definition of $\left\langle \dots \right\rangle_{ J_\alpha}$ in equation 7. (I presume it refers to disorder average discussed in the first paragraph of section 2 but a clear definition would be helpful.)
3Similarly for equation 12, it is helpful to define the meaning of expectation value. (Thermal average etc.)