SYK Model in a Non-Gaussian disorder ensemble and emergent Coleman's mechanism

Ido Ben-Dayan; Pankaj Chaturvedi

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arXiv · 2311.14630

SYK Model in a Non-Gaussian disorder ensemble and emergent Coleman's mechanism

Ido Ben-Dayan·Pankaj Chaturvedi

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Abstract

We consider the case of the SYK model with non-gaussian disorder in the large $N$ limit. After obtaining the effective action, we derive the density of states and the free energy of the modified theory. We show that the non-gaussian disorder corresponds to a non-local Liouville theory, and non-minimally coupled 2D gravity action. It also provides a nice realization of Colemania - Coleman's idea from the 80s of generating a small Cosmological Constant. Finally, we also calculate out of time order correlation functions (OTOC) for the model.

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Ido Ben-Dayan, Pankaj Chaturvedi. 2023-11-24. SYK Model in a Non-Gaussian disorder ensemble and emergent Coleman's mechanism. https://arxiv.org/abs/2311.14630

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