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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13642-4 |
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| Summary: | 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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| ISSN: | 1434-6052 |