This note assesses the Migdal-Eliashberg approximation in the Schwinger-Dyson gap equation against variants of the Yukawa-SYK model and comments on pseudo-holographic aspects of fermion pairing.
Vector models and generalized SYK models
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abstract
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.
fields
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Migdal-Eliashberg and SUS-$Y^2$-SYK
This note assesses the Migdal-Eliashberg approximation in the Schwinger-Dyson gap equation against variants of the Yukawa-SYK model and comments on pseudo-holographic aspects of fermion pairing.