Hydrodynamical transports in generic AdS Gauss-Bonnet-scalar Gravity
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| Format: | Preprint |
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2025
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| _version_ | 1866913971029671936 |
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| author | Tong, Chenwei Mishra, Rohit Wang, Yanqi He, Song |
| author_facet | Tong, Chenwei Mishra, Rohit Wang, Yanqi He, Song |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_13184 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hydrodynamical transports in generic AdS Gauss-Bonnet-scalar Gravity Tong, Chenwei Mishra, Rohit Wang, Yanqi He, Song High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology 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. |
| title | Hydrodynamical transports in generic AdS Gauss-Bonnet-scalar Gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.13184 |