Holography and magnetohydrodynamics with dynamical gauge fields
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914850711535616 |
|---|---|
| author | Ahn, Yongjun Baggioli, Matteo Huh, Kyoung-Bum Jeong, Hyun-Sik Kim, Keun-Young Sun, Ya-Wen |
| author_facet | Ahn, Yongjun Baggioli, Matteo Huh, Kyoung-Bum Jeong, Hyun-Sik Kim, Keun-Young Sun, Ya-Wen |
| contents | Within the framework of holography, the Einstein-Maxwell action with Dirichlet boundary conditions corresponds to a dual conformal field theory in presence of an external gauge field. Nevertheless, in many real-world applications, e.g., magnetohydrodynamics, plasma physics, superconductors, etc. dynamical gauge fields and Coulomb interactions are fundamental. In this work, we consider bottom-up holographic models at finite magnetic field and (free) charge density in presence of dynamical boundary gauge fields which are introduced using mixed boundary conditions. We numerically study the spectrum of the lowest quasi-normal modes and successfully compare the obtained results to magnetohydrodynamics theory in $2+1$ dimensions. Surprisingly, as far as the electromagnetic coupling is small enough, we find perfect agreement even in the large magnetic field limit. Our results prove that a holographic description of magnetohydrodynamics does not necessarily need higher-form bulk fields but can be consistently derived using mixed boundary conditions for standard gauge fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_01760 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Holography and magnetohydrodynamics with dynamical gauge fields Ahn, Yongjun Baggioli, Matteo Huh, Kyoung-Bum Jeong, Hyun-Sik Kim, Keun-Young Sun, Ya-Wen High Energy Physics - Theory Within the framework of holography, the Einstein-Maxwell action with Dirichlet boundary conditions corresponds to a dual conformal field theory in presence of an external gauge field. Nevertheless, in many real-world applications, e.g., magnetohydrodynamics, plasma physics, superconductors, etc. dynamical gauge fields and Coulomb interactions are fundamental. In this work, we consider bottom-up holographic models at finite magnetic field and (free) charge density in presence of dynamical boundary gauge fields which are introduced using mixed boundary conditions. We numerically study the spectrum of the lowest quasi-normal modes and successfully compare the obtained results to magnetohydrodynamics theory in $2+1$ dimensions. Surprisingly, as far as the electromagnetic coupling is small enough, we find perfect agreement even in the large magnetic field limit. Our results prove that a holographic description of magnetohydrodynamics does not necessarily need higher-form bulk fields but can be consistently derived using mixed boundary conditions for standard gauge fields. |
| title | Holography and magnetohydrodynamics with dynamical gauge fields |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2211.01760 |