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Main Authors: Ben-Dayan, Ido, Chaturvedi, Pankaj
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2311.14630
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author Ben-Dayan, Ido
Chaturvedi, Pankaj
author_facet Ben-Dayan, Ido
Chaturvedi, Pankaj
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2311_14630
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle SYK Model in a Non-Gaussian disorder ensemble and emergent Coleman's mechanism
Ben-Dayan, Ido
Chaturvedi, Pankaj
High Energy Physics - Theory
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.
title SYK Model in a Non-Gaussian disorder ensemble and emergent Coleman's mechanism
topic High Energy Physics - Theory
url https://arxiv.org/abs/2311.14630