The coupled SYK model at finite temperature
Abstract 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 a...
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Online Access: | http://link.springer.com/article/10.1007/JHEP05(2020)129 |
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doaj-24d44d37d6f94f0a9939b309f5b7b8cf2020-11-25T03:18:27ZengSpringerOpenJournal of High Energy Physics1029-84792020-05-012020511410.1007/JHEP05(2020)129The coupled SYK model at finite temperatureXiao-Liang Qi0Pengfei Zhang1Stanford Institute for Theoretical Physics, Stanford UniversityWalter Burke Institute for Theoretical Physics, California Institute of TechnologyAbstract 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.http://link.springer.com/article/10.1007/JHEP05(2020)1291/N ExpansionConformal Field TheoryConformal and W Symmetry2D Gravity |
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DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xiao-Liang Qi Pengfei Zhang |
spellingShingle |
Xiao-Liang Qi Pengfei Zhang The coupled SYK model at finite temperature Journal of High Energy Physics 1/N Expansion Conformal Field Theory Conformal and W Symmetry 2D Gravity |
author_facet |
Xiao-Liang Qi Pengfei Zhang |
author_sort |
Xiao-Liang Qi |
title |
The coupled SYK model at finite temperature |
title_short |
The coupled SYK model at finite temperature |
title_full |
The coupled SYK model at finite temperature |
title_fullStr |
The coupled SYK model at finite temperature |
title_full_unstemmed |
The coupled SYK model at finite temperature |
title_sort |
coupled syk model at finite temperature |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2020-05-01 |
description |
Abstract 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. |
topic |
1/N Expansion Conformal Field Theory Conformal and W Symmetry 2D Gravity |
url |
http://link.springer.com/article/10.1007/JHEP05(2020)129 |
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