Higher curvature corrections to pole-skipping

Abstract Recent developments have revealed a new phenomenon, i.e. the residues of the poles of the holographic retarded two point functions of generic operators vanish at certain complex values of the frequency and momentum. This so-called pole-skipping phenomenon can be determined holographically b...

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Main Author: Xing Wu
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2019)140
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author Xing Wu
author_facet Xing Wu
author_sort Xing Wu
collection DOAJ
description Abstract Recent developments have revealed a new phenomenon, i.e. the residues of the poles of the holographic retarded two point functions of generic operators vanish at certain complex values of the frequency and momentum. This so-called pole-skipping phenomenon can be determined holographically by the near horizon dynamics of the bulk equations of the corresponding fields. In particular, the pole-skipping point in the upper half plane of complex frequency has been shown to be closed related to many-body chaos, while those in the lower half plane also places universal and nontrivial constraints on the two point functions. In this paper, we study the effect of higher curvature corrections, i.e. the stringy correction and Gauss-Bonnet correction, to the (lower half plane) pole-skipping phenomenon for generic scalar, vector, and metric perturbations. We find that at the pole-skipping points, the frequencies ω n = −i2πnT are not explicitly influenced by both R 2 and R 4 corrections, while the momenta k n receive corresponding corrections.
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spelling doaj.art-093dc66ff8bf48a594b94f08f9ec4bc12022-12-21T22:11:01ZengSpringerOpenJournal of High Energy Physics1029-84792019-12-0120191213310.1007/JHEP12(2019)140Higher curvature corrections to pole-skippingXing Wu0Department of Physics, North University of ChinaAbstract Recent developments have revealed a new phenomenon, i.e. the residues of the poles of the holographic retarded two point functions of generic operators vanish at certain complex values of the frequency and momentum. This so-called pole-skipping phenomenon can be determined holographically by the near horizon dynamics of the bulk equations of the corresponding fields. In particular, the pole-skipping point in the upper half plane of complex frequency has been shown to be closed related to many-body chaos, while those in the lower half plane also places universal and nontrivial constraints on the two point functions. In this paper, we study the effect of higher curvature corrections, i.e. the stringy correction and Gauss-Bonnet correction, to the (lower half plane) pole-skipping phenomenon for generic scalar, vector, and metric perturbations. We find that at the pole-skipping points, the frequencies ω n = −i2πnT are not explicitly influenced by both R 2 and R 4 corrections, while the momenta k n receive corresponding corrections.https://doi.org/10.1007/JHEP12(2019)140Gauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT)
spellingShingle Xing Wu
Higher curvature corrections to pole-skipping
Journal of High Energy Physics
Gauge-gravity correspondence
Holography and condensed matter physics (AdS/CMT)
title Higher curvature corrections to pole-skipping
title_full Higher curvature corrections to pole-skipping
title_fullStr Higher curvature corrections to pole-skipping
title_full_unstemmed Higher curvature corrections to pole-skipping
title_short Higher curvature corrections to pole-skipping
title_sort higher curvature corrections to pole skipping
topic Gauge-gravity correspondence
Holography and condensed matter physics (AdS/CMT)
url https://doi.org/10.1007/JHEP12(2019)140
work_keys_str_mv AT xingwu highercurvaturecorrectionstopoleskipping