标题： 广义AdS高斯-博内-标量引力中的流体动力学输运 显示英文标题

标题： Hydrodynamical transports in generic AdS Gauss-Bonnet-scalar Gravity

摘要： 实验上观察到的夸克-胶子等离子体（QGP）的温度依赖剪切粘度和体积粘度，以及其对Kovtun-Son-Starinets（KSS）界限$\eta/s=1/(4\pi)$的明显违反，需要一种包含高阶导数修正的全息描述。我们提出一个五维爱因斯坦-标量-麦克斯韦-Gauss-Bonnet模型，在该模型中，标量-Gauss-Bonnet耦合$H(\phi)$编码了主要的曲率修正。尽管没有闭合形式的黑洞解，我们通过在事件视界处的熵产生分析，推导出了剪切粘度$\eta$和体积粘度$\zeta$的精确解析公式。这些表达式显示出对KSS界限的明显偏离和非平凡的温度依赖性。然后我们通过滞后格林函数（Kubo）方法进行了独立计算，发现对于$\eta$完全一致，并在$\zeta$中分离出一个需要数值确定的常数。我们的双重推导强调了高阶导数项在现实QGP建模中的关键作用，并展示了非解析全息背景在捕捉强耦合流体动力学方面的有效性。 显示英文摘要

摘要： 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 $\eta/s=1/(4\pi)$, 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 $H(\phi)$ 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 $\eta$ and bulk viscosity $\zeta$. 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 $\eta$ and isolating a single constant in $\zeta$ 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.