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arxiv: 1704.04223 · v1 · pith:EH72PI5B · submitted 2017-04-13 · hep-th · cond-mat.str-el

Vector models and generalized SYK models

Cheng Peng This is my paper

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classification hep-th cond-mat.str-el
keywords modelmodelsfieldvectorperturbationsyk-liketensoraltered
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We 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 possess chaos and enhanced reparameterization symmetries.

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