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

2023/11/24 by Ben-Dayan, Ido, Chaturvedi, Pankaj
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2311.14630

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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