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The coupled SYK model at finite temperature

Qi, Xiao-Liang and Zhang, Pengfei (2020) The coupled SYK model at finite temperature. Journal of High Energy Physics, 2020 (5). Art. No. 129. ISSN 1029-8479.

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Sachdev-Ye-Kitaev (SYK) model, which describes N randomly interacting Majorana fermions in 0+1 dimension, is found to be an solvable UV-complete toy model for holographic duality in nearly AdS₂ dilaton gravity. Ref. [1] proposed a modified model by coupling two identical SYK models, which at low-energy limit is dual to a global AdS₂ geometry. This geometry is an “eternal wormhole” because the two boundaries are causally connected. Increasing the temperature drives a Hawking-Page like transition from the eternal wormhole geometry to two disconnected black holes with coupled matter field. To gain more understanding of the coupled SYK model, in this work, we study the finite temperature spectral function of this system by numerical solving the Schwinger-Dyson equation in real-time. We find in the low-temperature phase the system is well described by weakly interacting fermions with renormalized single-particle gap, while in the high temperature phase the system is strongly interacting and the single-particle peaks merge. We also study the q dependence of the spectral function.

Item Type:Article
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URLURL TypeDescription Paper
Zhang, Pengfei0000-0002-7408-0918
Additional Information:© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: March 15, 2020; Accepted: May 9, 2020; Published: May 26, 2020. We thank Chao-Ming Jian and Shunyu Yao for helpful discussion. After finishing this work, we became aware of an independent work on similar topic [33]. We would like to thank the authors Stephan Plugge, Etienne Lantagne-Hurtubise and Marcel Franz for sharing their unpublished result with us. This work is supported by the National Science Foundation Grant No. 1720504 and the Simons Foundation. This work is also supported in part by the DOE Office of Science, Office of High Energy Physics, the grant DE-SC0019380.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0019380
Subject Keywords:1/N Expansion, Conformal Field Theory, Conformal and W Symmetry, 2D Gravity
Issue or Number:5
Record Number:CaltechAUTHORS:20200527-133145781
Persistent URL:
Official Citation:Qi, X., Zhang, P. The coupled SYK model at finite temperature. J. High Energ. Phys. 2020, 129 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103497
Deposited By: Tony Diaz
Deposited On:27 May 2020 21:05
Last Modified:27 May 2020 21:05

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