Eigenvalue instantons in the spectral form factor of random matrix model

Eigenvalue instantons in the spectral form factor of random matrix model

Abstract We study the late time plateau behavior of the spectral form factor in the Gaussian Unitary Ensemble (GUE) random matrix model. The time derivative of the spectral form factor in the plateau regime is not strictly zero, but non-zero due to a nonperturbative correction in the 1/N expansion....

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Bibliographic Details
Main Author: Kazumi Okuyama
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Journal of High Energy Physics
Subjects:
1/N Expansion
Matrix Models
Random Systems
Online Access:http://link.springer.com/article/10.1007/JHEP03(2019)147
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spelling doaj-6b735a72ee274e54a16cc4b0e87253c62020-11-25T02:24:19ZengSpringerOpenJournal of High Energy Physics1029-84792019-03-012019311410.1007/JHEP03(2019)147Eigenvalue instantons in the spectral form factor of random matrix modelKazumi Okuyama0Department of Physics, Shinshu UniversityAbstract We study the late time plateau behavior of the spectral form factor in the Gaussian Unitary Ensemble (GUE) random matrix model. The time derivative of the spectral form factor in the plateau regime is not strictly zero, but non-zero due to a nonperturbative correction in the 1/N expansion. We argue that such a non-perturbative correction comes from the eigenvalue instanton of random matrix model and we explicitly compute the instanton correction as a function of time.http://link.springer.com/article/10.1007/JHEP03(2019)1471/N ExpansionMatrix ModelsRandom Systems
collection DOAJ
language English
format Article
sources DOAJ
author Kazumi Okuyama
spellingShingle Kazumi Okuyama
Eigenvalue instantons in the spectral form factor of random matrix model
Journal of High Energy Physics
1/N Expansion
Matrix Models
Random Systems
author_facet Kazumi Okuyama
author_sort Kazumi Okuyama
title Eigenvalue instantons in the spectral form factor of random matrix model
title_short Eigenvalue instantons in the spectral form factor of random matrix model
title_full Eigenvalue instantons in the spectral form factor of random matrix model
title_fullStr Eigenvalue instantons in the spectral form factor of random matrix model
title_full_unstemmed Eigenvalue instantons in the spectral form factor of random matrix model
title_sort eigenvalue instantons in the spectral form factor of random matrix model
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-03-01
description Abstract We study the late time plateau behavior of the spectral form factor in the Gaussian Unitary Ensemble (GUE) random matrix model. The time derivative of the spectral form factor in the plateau regime is not strictly zero, but non-zero due to a nonperturbative correction in the 1/N expansion. We argue that such a non-perturbative correction comes from the eigenvalue instanton of random matrix model and we explicitly compute the instanton correction as a function of time.
topic 1/N Expansion
Matrix Models
Random Systems
url http://link.springer.com/article/10.1007/JHEP03(2019)147
work_keys_str_mv AT kazumiokuyama eigenvalueinstantonsinthespectralformfactorofrandommatrixmodel
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