Vector models and generalized SYK models

@article{Peng2017VectorMA,
  title={Vector models and generalized SYK models},
  author={Cheng Peng},
  journal={Journal of High Energy Physics},
  year={2017},
  volume={2017},
  pages={1-33}
}
  • C. Peng
  • Published 13 April 2017
  • Physics
  • Journal of High Energy Physics
A bstractWe consider the relation between SYK-like models and vector models by studying a toy model where a tensor field is coupled with a vector field. By integrating out the tensor field, the toy model reduces to the Gross-Neveu model in 1 dimension. On the other hand, a certain perturbation can be turned on and the toy model flows to an SYK-like model at low energy. A chaotic-nonchaotic phase transition occurs as the sign of the perturbation is altered. We further study similar models that… 

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An introduction to the SYK model

  • V. Rosenhaus
  • Physics
    Journal of Physics A: Mathematical and Theoretical
  • 2019
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