Holographic drag force with translational symmetry breaking

Abstract In order to investigate how the drag force is affected by translational symmetry breaking (TSB), we utilize a holographic model in which the background metric remains translational symmetric while a graviton mass or other fields in the theory break this symmetry. We calculate analytically t...

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Main Authors: Sara Tahery, Kazem Bitaghsir Fadafan, Sahar Mojarrad Lamanjouei
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13642-4
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author Sara Tahery
Kazem Bitaghsir Fadafan
Sahar Mojarrad Lamanjouei
author_facet Sara Tahery
Kazem Bitaghsir Fadafan
Sahar Mojarrad Lamanjouei
author_sort Sara Tahery
collection DOAJ
description Abstract In order to investigate how the drag force is affected by translational symmetry breaking (TSB), we utilize a holographic model in which the background metric remains translational symmetric while a graviton mass or other fields in the theory break this symmetry. We calculate analytically the drag force, considering an asymptotic $$\hbox {AdS}_5$$ AdS 5 in which parameter $$\alpha $$ α arises from TSB. This parameter can be intuitively understood as a measure of TSB strength and we anticipate that non-zero values of it will affect the drag force. In this asymptotic $$\hbox {AdS}_5$$ AdS 5 background, we will demonstrate that a decrease in $$\alpha $$ α results in a reduction of the drag force. Moreover, we study the diffusion constant, which falls with increasing $$\alpha $$ α . It will eventually be shown that at lower values of $$\alpha $$ α or $$\mu $$ μ (chemical potential), the transverse diffusion coefficient is larger than the longitudinal one, and the speed of the heavy quark has minimal impact on the ratio.
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institution Kabale University
issn 1434-6052
language English
publishDate 2024-12-01
publisher SpringerOpen
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series European Physical Journal C: Particles and Fields
spelling doaj-art-2a0a34bfc9c24e15893b17d6dd35b0672025-02-02T12:39:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211010.1140/epjc/s10052-024-13642-4Holographic drag force with translational symmetry breakingSara Tahery0Kazem Bitaghsir Fadafan1Sahar Mojarrad Lamanjouei2Institute of Particle and Nuclear physics, Henan Normal UniversityFaculty of Physics, Shahrood University of TechnologyFaculty of Physics, Shahrood University of TechnologyAbstract In order to investigate how the drag force is affected by translational symmetry breaking (TSB), we utilize a holographic model in which the background metric remains translational symmetric while a graviton mass or other fields in the theory break this symmetry. We calculate analytically the drag force, considering an asymptotic $$\hbox {AdS}_5$$ AdS 5 in which parameter $$\alpha $$ α arises from TSB. This parameter can be intuitively understood as a measure of TSB strength and we anticipate that non-zero values of it will affect the drag force. In this asymptotic $$\hbox {AdS}_5$$ AdS 5 background, we will demonstrate that a decrease in $$\alpha $$ α results in a reduction of the drag force. Moreover, we study the diffusion constant, which falls with increasing $$\alpha $$ α . It will eventually be shown that at lower values of $$\alpha $$ α or $$\mu $$ μ (chemical potential), the transverse diffusion coefficient is larger than the longitudinal one, and the speed of the heavy quark has minimal impact on the ratio.https://doi.org/10.1140/epjc/s10052-024-13642-4
spellingShingle Sara Tahery
Kazem Bitaghsir Fadafan
Sahar Mojarrad Lamanjouei
Holographic drag force with translational symmetry breaking
European Physical Journal C: Particles and Fields
title Holographic drag force with translational symmetry breaking
title_full Holographic drag force with translational symmetry breaking
title_fullStr Holographic drag force with translational symmetry breaking
title_full_unstemmed Holographic drag force with translational symmetry breaking
title_short Holographic drag force with translational symmetry breaking
title_sort holographic drag force with translational symmetry breaking
url https://doi.org/10.1140/epjc/s10052-024-13642-4
work_keys_str_mv AT saratahery holographicdragforcewithtranslationalsymmetrybreaking
AT kazembitaghsirfadafan holographicdragforcewithtranslationalsymmetrybreaking
AT saharmojarradlamanjouei holographicdragforcewithtranslationalsymmetrybreaking