Flavour current correlators and the non-Abelian hydrodynamic approximation: the charged sector
Abstract
Flavor-current correlators are studied in strongly-coupled dense (holographic) matter, at finite quark chemical potential μq and finite isospin asymmetry. The non-Abelian hydrodynamic description of the charged currents is derived in the presence of an isospin chemical potential μ3. The two-point correlators of charged currents are then computed holographically at finite quark and isospin chemical potentials. In the near-extremal hydrodynamic regime, ω, k, T, μ3 ≪ μ≡ √(μq2+μ32), relevant for cold strongly coupled matter, the IR properties of the correlators are studied. It is shown that in this regime, the correlators agree with the non-Abelian hydrodynamic predictions. Therefore, the traditional regime of validity of standard hydrodynamics extends beyond ω, k ≪ T ≪ μ to the so-called extended hydrodynamic regime T≪ ω, k ≪ μ. The holographic product formula is applied to the present non-Abelian system, and is used to propose an extended hydrodynamic approximation capturing both hydrodynamic-like poles and the leading effect of AdS2 poles, by resumming the low-ω logarithms. The results are verified through a detailed numerical analysis of the exact correlators and quasi-normal mode spectrum.
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BibTeX
@misc{apostolidis2026flavour,
title = {{Flavour current correlators and the non-Abelian hydrodynamic approximation: the charged sector}},
author = {Thomas Apostolidis and Matti Järvinen and Elias Kiritsis and Francesco Nitti and Andrea Olzi and Edwan Préau},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.20991},
eprint = {2607.20991},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.20991},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Flavour current correlators and the non-Abelian hydrodynamic approximation: the charged sector
AU - Thomas Apostolidis
AU - Matti Järvinen
AU - Elias Kiritsis
AU - Francesco Nitti
AU - Andrea Olzi
AU - Edwan Préau
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2607.20991
UR - https://arxiv.org/abs/2607.20991
AB - Flavor-current correlators are studied in strongly-coupled dense (holographic) matter, at finite quark chemical potential μ_q and finite isospin asymmetry. The non-Abelian hydrodynamic description of the charged currents is derived in the presence of an isospin chemical potential μ_3. The two-point correlators of charged currents are then computed holographically at finite quark and isospin chemical potentials. In the near-extremal hydrodynamic regime, ω, k, T, μ_3 ≪ μ≡ √(μ_q^2+μ_3^2), relevant for cold strongly coupled matter, the IR properties of the correlators are studied. It is shown that in this regime, the correlators agree with the non-Abelian hydrodynamic predictions. Therefore, the traditional regime of validity of standard hydrodynamics extends beyond ω, k ≪ T ≪ μ to the so-called extended hydrodynamic regime T≪ ω, k ≪ μ. The holographic product formula is applied to the present non-Abelian system, and is used to propose an extended hydrodynamic approximation capturing both hydrodynamic-like poles and the leading effect of AdS_2 poles, by resumming the low-ω logarithms. The results are verified through a detailed numerical analysis of the exact correlators and quasi-normal mode spectrum.
ER -