English

Thermodynamics and Many Body Chaos for generalized large q SYK models

High Energy Physics - Theory 2019-09-04 v2 Statistical Mechanics

Abstract

This paper considers a type of generalized large qq SYK models which include multi-body interactions between Majorana fermions. We derive an effective action in the limit of large NN and large qq (with  q2N{~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 qq SYK models numerically.

Keywords

Cite

@article{arxiv.1905.00811,
  title  = {Thermodynamics and Many Body Chaos for generalized large q SYK models},
  author = {Jiaqi Jiang and Zhenbin Yang},
  journal= {arXiv preprint arXiv:1905.00811},
  year   = {2019}
}

Comments

20 pages, 4 figures