Near-extremal hydrodynamics and the holographic product formula
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915799191519232 |
|---|---|
| author | Préau, Edwan |
| author_facet | Préau, Edwan |
| contents | The holographic product formula is used to determine the general form taken by holographic spectral functions in the near-extremal hydrodynamic regime, with energy $ω$, momentum $k$ and temperature $T$ much smaller than a hard scale $μ$. The resulting expressions simplify in the extremal limit $T \ll ω,k\ll μ$, for which the low-temperature gapless modes and the IR conformal behavior factorize. In some cases, this factorization extends to the general near-extremal regime $ω,k,T\llμ$ at leading order in $T/μ$. Several examples are discussed with different types of gapless modes and IR CFTs, including new numerical results for low temperature quasi-normal modes. We end with a concrete application that shows how the inclusion of the IR conformal behavior improves the description of the spectral function at low energies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19330 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Near-extremal hydrodynamics and the holographic product formula Préau, Edwan High Energy Physics - Theory Strongly Correlated Electrons The holographic product formula is used to determine the general form taken by holographic spectral functions in the near-extremal hydrodynamic regime, with energy $ω$, momentum $k$ and temperature $T$ much smaller than a hard scale $μ$. The resulting expressions simplify in the extremal limit $T \ll ω,k\ll μ$, for which the low-temperature gapless modes and the IR conformal behavior factorize. In some cases, this factorization extends to the general near-extremal regime $ω,k,T\llμ$ at leading order in $T/μ$. Several examples are discussed with different types of gapless modes and IR CFTs, including new numerical results for low temperature quasi-normal modes. We end with a concrete application that shows how the inclusion of the IR conformal behavior improves the description of the spectral function at low energies. |
| title | Near-extremal hydrodynamics and the holographic product formula |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2512.19330 |