# 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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