Holographic drag force with translational symmetry breaking

Sara Tahery; Kazem Bitaghsir Fadafan; Sahar Mojarrad Lamanjouei

doi:10.1140/epjc/s10052-024-13642-4

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 1259
https://doi.org/10.1140/epjc/s10052-024-13642-4

Regular Article

Holographic drag force with translational symmetry breaking

Sara Tahery¹^a, Kazem Bitaghsir Fadafan² and Sahar Mojarrad Lamanjouei²

¹ Institute of Particle and Nuclear physics, Henan Normal University, 453007, Xinxiang, China
² Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161, Shahrood, Iran

^a saratahery@htu.edu.cn

Received: 10 June 2024
Accepted: 24 November 2024
Published online: 6 December 2024

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 ${AdS}_{5}$ $\hbox {AdS}_5$ in which parameter $α$ $\alpha$ 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 ${AdS}_{5}$ $\hbox {AdS}_5$ background, we will demonstrate that a decrease in $α$ $\alpha$ results in a reduction of the drag force. Moreover, we study the diffusion constant, which falls with increasing $α$ $\alpha$ . It will eventually be shown that at lower values of $α$ $\alpha$ or $μ$ $\mu$ (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.

© The Author(s) 2024

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