Holographic drag force with translational symmetry breaking

Fuente: arXiv
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Auteurs principaux: Tahery, Sara, Fadafan, Kazem Bitaghsir, Lamanjouei, Sahar Mojarrad
Format: Preprint
Publié: 2024
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author Tahery, Sara
Fadafan, Kazem Bitaghsir
Lamanjouei, Sahar Mojarrad
author_facet Tahery, Sara
Fadafan, Kazem Bitaghsir
Lamanjouei, Sahar Mojarrad
contents 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 $AdS_5$ in which parameter 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 AdS5 background, we will demonstrate that a decrease in α results in a reduction of the drag force. Moreover, we study the diffusion constant, which falls with increasing α. It will eventually be shown that at lower values of α or 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_03220
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Holographic drag force with translational symmetry breaking
Tahery, Sara
Fadafan, Kazem Bitaghsir
Lamanjouei, Sahar Mojarrad
High Energy Physics - Theory
High Energy Physics - Phenomenology
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 $AdS_5$ in which parameter 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 AdS5 background, we will demonstrate that a decrease in α results in a reduction of the drag force. Moreover, we study the diffusion constant, which falls with increasing α. It will eventually be shown that at lower values of α or 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.
title Holographic drag force with translational symmetry breaking
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2406.03220