Thermodynamics and Many Body Chaos for generalized large q SYK models

Jiaqi Jiang; Zhenbin Yang

Thermodynamics and Many Body Chaos for generalized large q SYK models

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arxiv 1905.00811 v2 pith:XT5DEBFW submitted 2019-05-02 hep-th cond-mat.stat-mech

Jiaqi Jiang , Zhenbin Yang This is my paper · ORCID

classification hep-thcond-mat.stat-mech

keywords largegeneralizedmodelschaosexponentfindactionbody

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abstract

This paper considers a type of generalized large $q$ SYK models which include multi-body interactions between Majorana fermions. We derive an effective action in the limit of large $N$ and large $q$ (with ${~q^2\over N} $ small), and find a universal expression for thermodynamical quantities. We also consider the chaos exponent using the retarded kernel method and find an efficient way to calculate the Lyapunov exponent for generalized large $q$ SYK models numerically.

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