Probing pole-skipping through scalar Gauss-Bonnet coupling

The holographic phenomena of pole-skipping have been studied in the presence of scalar-Gauss-Bonnet interaction in a four-dimensional Anti-de Sitter-Schwarzchild black hole background. In this paper, we initiated a novel study on understanding the response of those pole-skipping points under the app...

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Main Authors: Banashree Baishya, Kuntal Nayek
Format: Article
Language:English
Published: Elsevier 2024-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321324000877
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author Banashree Baishya
Kuntal Nayek
author_facet Banashree Baishya
Kuntal Nayek
author_sort Banashree Baishya
collection DOAJ
description The holographic phenomena of pole-skipping have been studied in the presence of scalar-Gauss-Bonnet interaction in a four-dimensional Anti-de Sitter-Schwarzchild black hole background. In this paper, we initiated a novel study on understanding the response of those pole-skipping points under the application of external sources. The source is identified with the holographic dual operator of the bulk scalar field with its non-normalizable solutions. We analyze in detail the dynamics of pole-skipping points in both sound and shear channels, considering linear perturbation in bulk. In the perturbative regime, characteristic parameters for chaos, namely Lyapunov exponent and butterfly velocity, remain unchanged. However, the momentum values of the pole-skipping points in various modes are found to be affected by the scalar source. Further, the diffusion coefficient has been observed to evolve non-trivially under the application of external sources.
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spelling doaj.art-9cfbf0b4d423486cbe249b576a5178712024-04-04T05:03:14ZengElsevierNuclear Physics B0550-32132024-04-011001116521Probing pole-skipping through scalar Gauss-Bonnet couplingBanashree Baishya0Kuntal Nayek1Corresponding author.; Department of Physics, Indian Institute of Technology Guwahati, Guwahati 781039, IndiaDepartment of Physics, Indian Institute of Technology Guwahati, Guwahati 781039, IndiaThe holographic phenomena of pole-skipping have been studied in the presence of scalar-Gauss-Bonnet interaction in a four-dimensional Anti-de Sitter-Schwarzchild black hole background. In this paper, we initiated a novel study on understanding the response of those pole-skipping points under the application of external sources. The source is identified with the holographic dual operator of the bulk scalar field with its non-normalizable solutions. We analyze in detail the dynamics of pole-skipping points in both sound and shear channels, considering linear perturbation in bulk. In the perturbative regime, characteristic parameters for chaos, namely Lyapunov exponent and butterfly velocity, remain unchanged. However, the momentum values of the pole-skipping points in various modes are found to be affected by the scalar source. Further, the diffusion coefficient has been observed to evolve non-trivially under the application of external sources.http://www.sciencedirect.com/science/article/pii/S0550321324000877
spellingShingle Banashree Baishya
Kuntal Nayek
Probing pole-skipping through scalar Gauss-Bonnet coupling
Nuclear Physics B
title Probing pole-skipping through scalar Gauss-Bonnet coupling
title_full Probing pole-skipping through scalar Gauss-Bonnet coupling
title_fullStr Probing pole-skipping through scalar Gauss-Bonnet coupling
title_full_unstemmed Probing pole-skipping through scalar Gauss-Bonnet coupling
title_short Probing pole-skipping through scalar Gauss-Bonnet coupling
title_sort probing pole skipping through scalar gauss bonnet coupling
url http://www.sciencedirect.com/science/article/pii/S0550321324000877
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