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arXiv · 2507.13184

Hydrodynamical transports in generic AdS Gauss-Bonnet-scalar Gravity

Chenwei Tong·Rohit Mishra·Yanqi Wang·Song He
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Abstract

The experimentally observed temperature-dependent shear and bulk viscosities of the quark-gluon plasma (QGP), along with its apparent violation of the Kovtun-Son-Starinets (KSS) bound $η/s=1/(4π)$, necessitate a holographic description that incorporates higher-derivative corrections. We propose a five-dimensional Einstein-Scalar-Maxwell-Gauss-Bonnet model in which a scalar-Gauss-Bonnet coupling $H(ϕ)$ encodes leading curvature corrections. Although no closed-form black hole solution is available, we employ an entropy-production analysis at the event horizon to derive exact analytic formulas for the shear viscosity $η$ and bulk viscosity $ζ$. These expressions exhibit apparent deviation from the KSS bound and nontrivial temperature dependence. We then perform an independent computation via the retarded Green function (Kubo) method, finding perfect agreement for $η$ and isolating a single constant in $ζ$ that requires numerical determination. Our dual derivation underscores the pivotal role of higher-derivative terms in realistic QGP modeling and demonstrates the efficacy of nonanalytic holographic backgrounds in capturing the dynamics of strongly coupled fluids.

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Chenwei Tong, Rohit Mishra, Yanqi Wang, Song He. 2025-08-02. Hydrodynamical transports in generic AdS Gauss-Bonnet-scalar Gravity. https://arxiv.org/abs/2507.13184

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