Quasi-normal modes of holographic system with Weyl correction and momentum dissipation

We study the charge response in complex frequency plane and the quasi-normal modes (QNMs) of the boundary quantum field theory with momentum dissipation dual to a probe generalized Maxwell system with Weyl correction. When the strength of the momentum dissipation αˆ is small, the pole structure of t...

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Main Authors: Jian-Pin Wu, Peng Liu
Format: Article
Language:English
Published: Elsevier 2018-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318302466
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author Jian-Pin Wu
Peng Liu
author_facet Jian-Pin Wu
Peng Liu
author_sort Jian-Pin Wu
collection DOAJ
description We study the charge response in complex frequency plane and the quasi-normal modes (QNMs) of the boundary quantum field theory with momentum dissipation dual to a probe generalized Maxwell system with Weyl correction. When the strength of the momentum dissipation αˆ is small, the pole structure of the conductivity is similar to the case without the momentum dissipation. The qualitative correspondence between the poles of the real part of the conductivity of the original theory and the ones of its electromagnetic (EM) dual theory approximately holds when γ→−γ with γ being the Weyl coupling parameter. While the strong momentum dissipation alters the pole structure such that most of the poles locate at the purely imaginary axis. At this moment, the correspondence between the poles of the original theory and its EM dual one is violated when γ→−γ. In addition, for the dominant pole, the EM duality almost holds when γ→−γ for all αˆ except for a small region of αˆ.
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spelling doaj.art-116217a891af4ffdb49f64d22681d6c62022-12-22T01:30:52ZengElsevierPhysics Letters B0370-26932018-05-01780616621Quasi-normal modes of holographic system with Weyl correction and momentum dissipationJian-Pin Wu0Peng Liu1Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, China; Institute of Gravitation and Cosmology, Department of Physics, School of Mathematics and Physics, Bohai University, Jinzhou 121013, China; Corresponding author.Department of Physics, Jinan University, Guangzhou 510632, ChinaWe study the charge response in complex frequency plane and the quasi-normal modes (QNMs) of the boundary quantum field theory with momentum dissipation dual to a probe generalized Maxwell system with Weyl correction. When the strength of the momentum dissipation αˆ is small, the pole structure of the conductivity is similar to the case without the momentum dissipation. The qualitative correspondence between the poles of the real part of the conductivity of the original theory and the ones of its electromagnetic (EM) dual theory approximately holds when γ→−γ with γ being the Weyl coupling parameter. While the strong momentum dissipation alters the pole structure such that most of the poles locate at the purely imaginary axis. At this moment, the correspondence between the poles of the original theory and its EM dual one is violated when γ→−γ. In addition, for the dominant pole, the EM duality almost holds when γ→−γ for all αˆ except for a small region of αˆ.http://www.sciencedirect.com/science/article/pii/S0370269318302466
spellingShingle Jian-Pin Wu
Peng Liu
Quasi-normal modes of holographic system with Weyl correction and momentum dissipation
Physics Letters B
title Quasi-normal modes of holographic system with Weyl correction and momentum dissipation
title_full Quasi-normal modes of holographic system with Weyl correction and momentum dissipation
title_fullStr Quasi-normal modes of holographic system with Weyl correction and momentum dissipation
title_full_unstemmed Quasi-normal modes of holographic system with Weyl correction and momentum dissipation
title_short Quasi-normal modes of holographic system with Weyl correction and momentum dissipation
title_sort quasi normal modes of holographic system with weyl correction and momentum dissipation
url http://www.sciencedirect.com/science/article/pii/S0370269318302466
work_keys_str_mv AT jianpinwu quasinormalmodesofholographicsystemwithweylcorrectionandmomentumdissipation
AT pengliu quasinormalmodesofholographicsystemwithweylcorrectionandmomentumdissipation