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arXiv · 2607.20991

Flavour current correlators and the non-Abelian hydrodynamic approximation: the charged sector

Thomas Apostolidis·Matti Järvinen·Elias Kiritsis·Francesco Nitti·Andrea Olzi·Edwan Préau
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Abstract

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, $ω, k, T, μ_3 \ll μ\equiv \sqrt{μ_q^2+μ_3^2}$, 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 $ω, k \ll T \ll μ$ to the so-called extended hydrodynamic regime $T\ll ω, k \ll μ$. 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.

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Thomas Apostolidis, Matti Järvinen, Elias Kiritsis, Francesco Nitti, Andrea Olzi, Edwan Préau. 2026-07-23. Flavour current correlators and the non-Abelian hydrodynamic approximation: the charged sector. https://arxiv.org/abs/2607.20991

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