| Issue |
EPJ Web Conf.
Volume 191, 2018
XXth International Seminar on High Energy Physics (QUARKS-2018)
|
|
|---|---|---|
| Article Number | 06007 | |
| Number of page(s) | 8 | |
| Section | Modern Field Theory and Mathematical Physics | |
| DOI | https://doi.org/10.1051/epjconf/201819106007 | |
| Published online | 31 October 2018 | |
https://doi.org/10.1051/epjconf/201819106007
On replica-nondiagonal large N saddles in the SYK model
Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina str. 8, 119991, Moscow, Russia
* e-mail: arefeva@mi.ras.ru
** e-mail: khramtsov@mi.ras.ru
*** e-mail: tikhanovskaya@mi.ras.ru
**** e-mail: volovich@mi.ras.ru
Published online: 31 October 2018
We study the saddle points of the SYK model, formulated in terms of the replica bilocal fields, beyond the replica-diagonal assumption. We find a family of replica-nondiagonal saddle points in the IR limit, where the saddle point equations are separable. We use the Parisi ansatz to find the replicanondiagonal solutions and take the replica limit. The free energy on these solutions is computed, and we find that some of the replica-nondiagonal saddles have lower free energy than the replica-diagonal saddle point.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.