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Title: Vector models and generalized SYK models

Abstract

Here, 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. Furthermore, 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.

Authors:
 [1]
  1. Brown Univ., Providence, RI (United States). Dept. of Physics
Publication Date:
Research Org.:
Brown Univ., Providence, RI (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1389554
Grant/Contract Number:
SC0001015; SC0010010
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N Expansion; Field Theories in Lower Dimensions; Higher Spin Symmetry

Citation Formats

Peng, Cheng. Vector models and generalized SYK models. United States: N. p., 2017. Web. doi:10.1007/JHEP05(2017)129.
Peng, Cheng. Vector models and generalized SYK models. United States. doi:10.1007/JHEP05(2017)129.
Peng, Cheng. Tue . "Vector models and generalized SYK models". United States. doi:10.1007/JHEP05(2017)129. https://www.osti.gov/servlets/purl/1389554.
@article{osti_1389554,
title = {Vector models and generalized SYK models},
author = {Peng, Cheng},
abstractNote = {Here, 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. Furthermore, 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.},
doi = {10.1007/JHEP05(2017)129},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2017,
place = {United States},
year = {Tue May 23 00:00:00 EDT 2017},
month = {Tue May 23 00:00:00 EDT 2017}
}

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